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3513 lines
151 KiB
3513 lines
151 KiB
/*
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ASCIIMathML.js
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==============
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This file contains JavaScript functions to convert ASCII math notation
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and LaTeX to Presentation MathML. Simple graphics commands are also
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translated to SVG images. The conversion is done while the (X)HTML
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page loads, and should work with Firefox/Mozilla/Netscape 7+ and Internet
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Explorer 6/7 + MathPlayer (http://www.dessci.com/en/products/mathplayer/) +
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Adobe SVGview 3.03 (http://www.adobe.com/svg/viewer/install/).
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Just add the next line to your (X)HTML page with this file in the same folder:
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<script type="text/javascript" src="ASCIIMathML.js"></script>
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(using the graphics in IE also requires the file "d.svg" in the same folder).
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This is a convenient and inexpensive solution for authoring MathML and SVG.
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Version 2.0.1 Sept 27, 2007, (c) Peter Jipsen http://www.chapman.edu/~jipsen
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This version extends ASCIIMathML.js with LaTeXMathML.js and ASCIIsvg.js.
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Latest version at http://www.chapman.edu/~jipsen/mathml/ASCIIMathML.js
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If you use it on a webpage, please send the URL to jipsen@chapman.edu
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The LaTeXMathML modifications were made by Douglas Woodall, June 2006.
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(for details see header on the LaTeXMathML part in middle of file)
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation; either version 2.1 of the License, or (at
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your option) any later version.
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This program is distributed in the hope that it will be useful, but WITHOUT
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ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License
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(at http://www.gnu.org/licences/lgpl.html) for more details.
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*/
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var mathcolor = "blue"; // change it to "" (to inherit) or another color
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//var mathfontsize = "1em"; // change to e.g. 1.2em for larger math
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var mathfontsize = "1.2em"; // Modified by Ivan Tcholakov, 10-AUG-2009.
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var mathfontfamily = "serif"; // change to "" to inherit (works in IE)
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// or another family (e.g. "arial")
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var automathrecognize = false; // writing "amath" on page makes this true
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var checkForMathML = true; // check if browser can display MathML
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var notifyIfNoMathML = true; // display note at top if no MathML capability
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var alertIfNoMathML = false; // show alert box if no MathML capability
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var translateOnLoad = true; // set to false to do call translators from js
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var translateLaTeX = true; // false to preserve $..$, $$..$$
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var translateLaTeXformatting = true; // false to preserve \emph,\begin{},\end{}
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var translateASCIIMath = true; // false to preserve `..`
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var translateASCIIsvg = true; // false to preserve agraph.., \begin{graph}..
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var avoidinnerHTML = false; // set true if assigning to innerHTML gives error
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var displaystyle = true; // puts limits above and below large operators
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var showasciiformulaonhover = true; // helps students learn ASCIIMath
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var decimalsign = "."; // change to "," if you like, beware of `(1,2)`!
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var AMdelimiter1 = "`", AMescape1 = "\\\\`"; // can use other characters
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var AMdocumentId = "wikitext" // PmWiki element containing math (default=body)
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var checkforprocessasciimathinmoodle = false; // true for systems like Moodle
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var dsvglocation = ""; // path to d.svg (blank if same as ASCIIMathML.js loc)
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var isIE = document.createElementNS==null;
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if (document.getElementById==null)
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alert("This webpage requires a recent browser such as\
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\nMozilla/Netscape 7+ or Internet Explorer 6+MathPlayer")
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// all further ASCIIMathML global variables start with "AM"
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function AMcreateElementXHTML(t) {
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if (isIE) return document.createElement(t);
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else return document.createElementNS("http://www.w3.org/1999/xhtml",t);
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}
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function AMnoMathMLNote() {
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var nd = AMcreateElementXHTML("h3");
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nd.setAttribute("align","center")
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nd.appendChild(AMcreateElementXHTML("p"));
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nd.appendChild(document.createTextNode("To view the "));
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var an = AMcreateElementXHTML("a");
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an.appendChild(document.createTextNode("ASCIIMathML"));
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an.setAttribute("href","http://www.chapman.edu/~jipsen/asciimath.html");
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nd.appendChild(an);
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nd.appendChild(document.createTextNode(" notation use Internet Explorer 6+"));
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an = AMcreateElementXHTML("a");
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an.appendChild(document.createTextNode("MathPlayer"));
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an.setAttribute("href","http://www.dessci.com/en/products/mathplayer/download.htm");
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nd.appendChild(an);
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nd.appendChild(document.createTextNode(" or Netscape/Mozilla/Firefox"));
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nd.appendChild(AMcreateElementXHTML("p"));
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return nd;
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}
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function AMisMathMLavailable() {
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if (navigator.appName.slice(0,8)=="Netscape")
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if (navigator.appVersion.slice(0,1)>="5") return null;
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else return AMnoMathMLNote();
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else if (navigator.appName.slice(0,9)=="Microsoft")
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try {
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var ActiveX = new ActiveXObject("MathPlayer.Factory.1");
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return null;
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} catch (e) {
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return AMnoMathMLNote();
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}
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// Added by Ivan Tcholakov, 04-AUG-2009.
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else if (navigator.appName=="Opera")
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{
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if ( parseFloat(navigator.appVersion, 10) >= 9.5 )
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{
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return null ;
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}
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else
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{
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return AMnoMathMLNote();
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}
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}
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//
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else return AMnoMathMLNote();
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}
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// character lists for Mozilla/Netscape fonts
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var AMcal = [0xEF35,0x212C,0xEF36,0xEF37,0x2130,0x2131,0xEF38,0x210B,0x2110,0xEF39,0xEF3A,0x2112,0x2133,0xEF3B,0xEF3C,0xEF3D,0xEF3E,0x211B,0xEF3F,0xEF40,0xEF41,0xEF42,0xEF43,0xEF44,0xEF45,0xEF46];
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var AMfrk = [0xEF5D,0xEF5E,0x212D,0xEF5F,0xEF60,0xEF61,0xEF62,0x210C,0x2111,0xEF63,0xEF64,0xEF65,0xEF66,0xEF67,0xEF68,0xEF69,0xEF6A,0x211C,0xEF6B,0xEF6C,0xEF6D,0xEF6E,0xEF6F,0xEF70,0xEF71,0x2128];
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var AMbbb = [0xEF8C,0xEF8D,0x2102,0xEF8E,0xEF8F,0xEF90,0xEF91,0x210D,0xEF92,0xEF93,0xEF94,0xEF95,0xEF96,0x2115,0xEF97,0x2119,0x211A,0x211D,0xEF98,0xEF99,0xEF9A,0xEF9B,0xEF9C,0xEF9D,0xEF9E,0x2124];
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var CONST = 0, UNARY = 1, BINARY = 2, INFIX = 3, LEFTBRACKET = 4,
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RIGHTBRACKET = 5, SPACE = 6, UNDEROVER = 7, DEFINITION = 8,
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LEFTRIGHT = 9, TEXT = 10; // token types
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var AMsqrt = {input:"sqrt", tag:"msqrt", output:"sqrt", tex:null, ttype:UNARY},
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AMroot = {input:"root", tag:"mroot", output:"root", tex:null, ttype:BINARY},
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AMfrac = {input:"frac", tag:"mfrac", output:"/", tex:null, ttype:BINARY},
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AMdiv = {input:"/", tag:"mfrac", output:"/", tex:null, ttype:INFIX},
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AMover = {input:"stackrel", tag:"mover", output:"stackrel", tex:null, ttype:BINARY},
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AMsub = {input:"_", tag:"msub", output:"_", tex:null, ttype:INFIX},
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AMsup = {input:"^", tag:"msup", output:"^", tex:null, ttype:INFIX},
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AMtext = {input:"text", tag:"mtext", output:"text", tex:null, ttype:TEXT},
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AMmbox = {input:"mbox", tag:"mtext", output:"mbox", tex:null, ttype:TEXT},
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AMquote = {input:"\"", tag:"mtext", output:"mbox", tex:null, ttype:TEXT};
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var AMsymbols = [
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//some greek symbols
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{input:"alpha", tag:"mi", output:"\u03B1", tex:null, ttype:CONST},
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{input:"beta", tag:"mi", output:"\u03B2", tex:null, ttype:CONST},
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{input:"chi", tag:"mi", output:"\u03C7", tex:null, ttype:CONST},
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{input:"delta", tag:"mi", output:"\u03B4", tex:null, ttype:CONST},
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{input:"Delta", tag:"mo", output:"\u0394", tex:null, ttype:CONST},
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{input:"epsi", tag:"mi", output:"\u03B5", tex:"epsilon", ttype:CONST},
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{input:"varepsilon", tag:"mi", output:"\u025B", tex:null, ttype:CONST},
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{input:"eta", tag:"mi", output:"\u03B7", tex:null, ttype:CONST},
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{input:"gamma", tag:"mi", output:"\u03B3", tex:null, ttype:CONST},
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{input:"Gamma", tag:"mo", output:"\u0393", tex:null, ttype:CONST},
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{input:"iota", tag:"mi", output:"\u03B9", tex:null, ttype:CONST},
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{input:"kappa", tag:"mi", output:"\u03BA", tex:null, ttype:CONST},
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{input:"lambda", tag:"mi", output:"\u03BB", tex:null, ttype:CONST},
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{input:"Lambda", tag:"mo", output:"\u039B", tex:null, ttype:CONST},
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{input:"mu", tag:"mi", output:"\u03BC", tex:null, ttype:CONST},
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{input:"nu", tag:"mi", output:"\u03BD", tex:null, ttype:CONST},
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{input:"omega", tag:"mi", output:"\u03C9", tex:null, ttype:CONST},
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{input:"Omega", tag:"mo", output:"\u03A9", tex:null, ttype:CONST},
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{input:"phi", tag:"mi", output:"\u03C6", tex:null, ttype:CONST},
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{input:"varphi", tag:"mi", output:"\u03D5", tex:null, ttype:CONST},
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{input:"Phi", tag:"mo", output:"\u03A6", tex:null, ttype:CONST},
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{input:"pi", tag:"mi", output:"\u03C0", tex:null, ttype:CONST},
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{input:"Pi", tag:"mo", output:"\u03A0", tex:null, ttype:CONST},
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{input:"psi", tag:"mi", output:"\u03C8", tex:null, ttype:CONST},
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{input:"Psi", tag:"mi", output:"\u03A8", tex:null, ttype:CONST},
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{input:"rho", tag:"mi", output:"\u03C1", tex:null, ttype:CONST},
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{input:"sigma", tag:"mi", output:"\u03C3", tex:null, ttype:CONST},
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{input:"Sigma", tag:"mo", output:"\u03A3", tex:null, ttype:CONST},
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{input:"tau", tag:"mi", output:"\u03C4", tex:null, ttype:CONST},
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{input:"theta", tag:"mi", output:"\u03B8", tex:null, ttype:CONST},
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{input:"vartheta", tag:"mi", output:"\u03D1", tex:null, ttype:CONST},
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{input:"Theta", tag:"mo", output:"\u0398", tex:null, ttype:CONST},
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{input:"upsilon", tag:"mi", output:"\u03C5", tex:null, ttype:CONST},
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{input:"xi", tag:"mi", output:"\u03BE", tex:null, ttype:CONST},
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{input:"Xi", tag:"mo", output:"\u039E", tex:null, ttype:CONST},
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{input:"zeta", tag:"mi", output:"\u03B6", tex:null, ttype:CONST},
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//binary operation symbols
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//{input:"-", tag:"mo", output:"\u0096", tex:null, ttype:CONST},
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{input:"*", tag:"mo", output:"\u22C5", tex:"cdot", ttype:CONST},
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{input:"**", tag:"mo", output:"\u22C6", tex:"star", ttype:CONST},
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{input:"//", tag:"mo", output:"/", tex:null, ttype:CONST},
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{input:"\\\\", tag:"mo", output:"\\", tex:"backslash", ttype:CONST},
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{input:"setminus", tag:"mo", output:"\\", tex:null, ttype:CONST},
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{input:"xx", tag:"mo", output:"\u00D7", tex:"times", ttype:CONST},
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{input:"-:", tag:"mo", output:"\u00F7", tex:"divide", ttype:CONST},
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{input:"@", tag:"mo", output:"\u2218", tex:"circ", ttype:CONST},
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{input:"o+", tag:"mo", output:"\u2295", tex:"oplus", ttype:CONST},
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{input:"ox", tag:"mo", output:"\u2297", tex:"otimes", ttype:CONST},
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{input:"o.", tag:"mo", output:"\u2299", tex:"odot", ttype:CONST},
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{input:"sum", tag:"mo", output:"\u2211", tex:null, ttype:UNDEROVER},
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{input:"prod", tag:"mo", output:"\u220F", tex:null, ttype:UNDEROVER},
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{input:"^^", tag:"mo", output:"\u2227", tex:"wedge", ttype:CONST},
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{input:"^^^", tag:"mo", output:"\u22C0", tex:"bigwedge", ttype:UNDEROVER},
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{input:"vv", tag:"mo", output:"\u2228", tex:"vee", ttype:CONST},
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{input:"vvv", tag:"mo", output:"\u22C1", tex:"bigvee", ttype:UNDEROVER},
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{input:"nn", tag:"mo", output:"\u2229", tex:"cap", ttype:CONST},
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{input:"nnn", tag:"mo", output:"\u22C2", tex:"bigcap", ttype:UNDEROVER},
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{input:"uu", tag:"mo", output:"\u222A", tex:"cup", ttype:CONST},
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{input:"uuu", tag:"mo", output:"\u22C3", tex:"bigcup", ttype:UNDEROVER},
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//binary relation symbols
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{input:"!=", tag:"mo", output:"\u2260", tex:"ne", ttype:CONST},
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{input:":=", tag:"mo", output:":=", tex:null, ttype:CONST},
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{input:"lt", tag:"mo", output:"<", tex:null, ttype:CONST},
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{input:"<=", tag:"mo", output:"\u2264", tex:"le", ttype:CONST},
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{input:"lt=", tag:"mo", output:"\u2264", tex:"leq", ttype:CONST},
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{input:">=", tag:"mo", output:"\u2265", tex:"ge", ttype:CONST},
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{input:"geq", tag:"mo", output:"\u2265", tex:null, ttype:CONST},
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{input:"-<", tag:"mo", output:"\u227A", tex:"prec", ttype:CONST},
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{input:"-lt", tag:"mo", output:"\u227A", tex:null, ttype:CONST},
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{input:">-", tag:"mo", output:"\u227B", tex:"succ", ttype:CONST},
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{input:"-<=", tag:"mo", output:"\u2AAF", tex:"preceq", ttype:CONST},
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{input:">-=", tag:"mo", output:"\u2AB0", tex:"succeq", ttype:CONST},
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{input:"in", tag:"mo", output:"\u2208", tex:null, ttype:CONST},
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{input:"!in", tag:"mo", output:"\u2209", tex:"notin", ttype:CONST},
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{input:"sub", tag:"mo", output:"\u2282", tex:"subset", ttype:CONST},
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{input:"sup", tag:"mo", output:"\u2283", tex:"supset", ttype:CONST},
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{input:"sube", tag:"mo", output:"\u2286", tex:"subseteq", ttype:CONST},
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{input:"supe", tag:"mo", output:"\u2287", tex:"supseteq", ttype:CONST},
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{input:"-=", tag:"mo", output:"\u2261", tex:"equiv", ttype:CONST},
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{input:"~=", tag:"mo", output:"\u2245", tex:"cong", ttype:CONST},
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{input:"~~", tag:"mo", output:"\u2248", tex:"approx", ttype:CONST},
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{input:"prop", tag:"mo", output:"\u221D", tex:"propto", ttype:CONST},
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//logical symbols
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{input:"and", tag:"mtext", output:"and", tex:null, ttype:SPACE},
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{input:"or", tag:"mtext", output:"or", tex:null, ttype:SPACE},
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{input:"not", tag:"mo", output:"\u00AC", tex:"neg", ttype:CONST},
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{input:"=>", tag:"mo", output:"\u21D2", tex:"implies", ttype:CONST},
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{input:"if", tag:"mo", output:"if", tex:null, ttype:SPACE},
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{input:"<=>", tag:"mo", output:"\u21D4", tex:"iff", ttype:CONST},
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{input:"AA", tag:"mo", output:"\u2200", tex:"forall", ttype:CONST},
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{input:"EE", tag:"mo", output:"\u2203", tex:"exists", ttype:CONST},
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{input:"_|_", tag:"mo", output:"\u22A5", tex:"bot", ttype:CONST},
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{input:"TT", tag:"mo", output:"\u22A4", tex:"top", ttype:CONST},
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{input:"|--", tag:"mo", output:"\u22A2", tex:"vdash", ttype:CONST},
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{input:"|==", tag:"mo", output:"\u22A8", tex:"models", ttype:CONST},
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//grouping brackets
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{input:"(", tag:"mo", output:"(", tex:null, ttype:LEFTBRACKET},
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{input:")", tag:"mo", output:")", tex:null, ttype:RIGHTBRACKET},
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{input:"[", tag:"mo", output:"[", tex:null, ttype:LEFTBRACKET},
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{input:"]", tag:"mo", output:"]", tex:null, ttype:RIGHTBRACKET},
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{input:"{", tag:"mo", output:"{", tex:null, ttype:LEFTBRACKET},
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{input:"}", tag:"mo", output:"}", tex:null, ttype:RIGHTBRACKET},
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{input:"|", tag:"mo", output:"|", tex:null, ttype:LEFTRIGHT},
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//{input:"||", tag:"mo", output:"||", tex:null, ttype:LEFTRIGHT},
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{input:"(:", tag:"mo", output:"\u2329", tex:"langle", ttype:LEFTBRACKET},
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{input:":)", tag:"mo", output:"\u232A", tex:"rangle", ttype:RIGHTBRACKET},
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{input:"<<", tag:"mo", output:"\u2329", tex:null, ttype:LEFTBRACKET},
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{input:">>", tag:"mo", output:"\u232A", tex:null, ttype:RIGHTBRACKET},
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{input:"{:", tag:"mo", output:"{:", tex:null, ttype:LEFTBRACKET, invisible:true},
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{input:":}", tag:"mo", output:":}", tex:null, ttype:RIGHTBRACKET, invisible:true},
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//miscellaneous symbols
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{input:"int", tag:"mo", output:"\u222B", tex:null, ttype:CONST},
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|
{input:"dx", tag:"mi", output:"{:d x:}", tex:null, ttype:DEFINITION},
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{input:"dy", tag:"mi", output:"{:d y:}", tex:null, ttype:DEFINITION},
|
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{input:"dz", tag:"mi", output:"{:d z:}", tex:null, ttype:DEFINITION},
|
|
{input:"dt", tag:"mi", output:"{:d t:}", tex:null, ttype:DEFINITION},
|
|
{input:"oint", tag:"mo", output:"\u222E", tex:null, ttype:CONST},
|
|
{input:"del", tag:"mo", output:"\u2202", tex:"partial", ttype:CONST},
|
|
{input:"grad", tag:"mo", output:"\u2207", tex:"nabla", ttype:CONST},
|
|
{input:"+-", tag:"mo", output:"\u00B1", tex:"pm", ttype:CONST},
|
|
{input:"O/", tag:"mo", output:"\u2205", tex:"emptyset", ttype:CONST},
|
|
{input:"oo", tag:"mo", output:"\u221E", tex:"infty", ttype:CONST},
|
|
{input:"aleph", tag:"mo", output:"\u2135", tex:null, ttype:CONST},
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|
{input:"...", tag:"mo", output:"...", tex:"ldots", ttype:CONST},
|
|
{input:":.", tag:"mo", output:"\u2234", tex:"therefore", ttype:CONST},
|
|
{input:"/_", tag:"mo", output:"\u2220", tex:"angle", ttype:CONST},
|
|
{input:"\\ ", tag:"mo", output:"\u00A0", tex:null, ttype:CONST},
|
|
{input:"quad", tag:"mo", output:"\u00A0\u00A0", tex:null, ttype:CONST},
|
|
{input:"qquad", tag:"mo", output:"\u00A0\u00A0\u00A0\u00A0", tex:null, ttype:CONST},
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|
{input:"cdots", tag:"mo", output:"\u22EF", tex:null, ttype:CONST},
|
|
{input:"vdots", tag:"mo", output:"\u22EE", tex:null, ttype:CONST},
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|
{input:"ddots", tag:"mo", output:"\u22F1", tex:null, ttype:CONST},
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|
{input:"diamond", tag:"mo", output:"\u22C4", tex:null, ttype:CONST},
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|
{input:"square", tag:"mo", output:"\u25A1", tex:null, ttype:CONST},
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|
{input:"|__", tag:"mo", output:"\u230A", tex:"lfloor", ttype:CONST},
|
|
{input:"__|", tag:"mo", output:"\u230B", tex:"rfloor", ttype:CONST},
|
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{input:"|~", tag:"mo", output:"\u2308", tex:"lceiling", ttype:CONST},
|
|
{input:"~|", tag:"mo", output:"\u2309", tex:"rceiling", ttype:CONST},
|
|
{input:"CC", tag:"mo", output:"\u2102", tex:null, ttype:CONST},
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|
{input:"NN", tag:"mo", output:"\u2115", tex:null, ttype:CONST},
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{input:"QQ", tag:"mo", output:"\u211A", tex:null, ttype:CONST},
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{input:"RR", tag:"mo", output:"\u211D", tex:null, ttype:CONST},
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{input:"ZZ", tag:"mo", output:"\u2124", tex:null, ttype:CONST},
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{input:"f", tag:"mi", output:"f", tex:null, ttype:UNARY, func:true},
|
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{input:"g", tag:"mi", output:"g", tex:null, ttype:UNARY, func:true},
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//standard functions
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|
{input:"lim", tag:"mo", output:"lim", tex:null, ttype:UNDEROVER},
|
|
{input:"Lim", tag:"mo", output:"Lim", tex:null, ttype:UNDEROVER},
|
|
{input:"sin", tag:"mo", output:"sin", tex:null, ttype:UNARY, func:true},
|
|
{input:"cos", tag:"mo", output:"cos", tex:null, ttype:UNARY, func:true},
|
|
{input:"tan", tag:"mo", output:"tan", tex:null, ttype:UNARY, func:true},
|
|
{input:"sinh", tag:"mo", output:"sinh", tex:null, ttype:UNARY, func:true},
|
|
{input:"cosh", tag:"mo", output:"cosh", tex:null, ttype:UNARY, func:true},
|
|
{input:"tanh", tag:"mo", output:"tanh", tex:null, ttype:UNARY, func:true},
|
|
{input:"cot", tag:"mo", output:"cot", tex:null, ttype:UNARY, func:true},
|
|
{input:"sec", tag:"mo", output:"sec", tex:null, ttype:UNARY, func:true},
|
|
{input:"csc", tag:"mo", output:"csc", tex:null, ttype:UNARY, func:true},
|
|
{input:"log", tag:"mo", output:"log", tex:null, ttype:UNARY, func:true},
|
|
{input:"ln", tag:"mo", output:"ln", tex:null, ttype:UNARY, func:true},
|
|
{input:"det", tag:"mo", output:"det", tex:null, ttype:UNARY, func:true},
|
|
{input:"dim", tag:"mo", output:"dim", tex:null, ttype:CONST},
|
|
{input:"mod", tag:"mo", output:"mod", tex:null, ttype:CONST},
|
|
{input:"gcd", tag:"mo", output:"gcd", tex:null, ttype:UNARY, func:true},
|
|
{input:"lcm", tag:"mo", output:"lcm", tex:null, ttype:UNARY, func:true},
|
|
{input:"lub", tag:"mo", output:"lub", tex:null, ttype:CONST},
|
|
{input:"glb", tag:"mo", output:"glb", tex:null, ttype:CONST},
|
|
{input:"min", tag:"mo", output:"min", tex:null, ttype:UNDEROVER},
|
|
{input:"max", tag:"mo", output:"max", tex:null, ttype:UNDEROVER},
|
|
|
|
//arrows
|
|
{input:"uarr", tag:"mo", output:"\u2191", tex:"uparrow", ttype:CONST},
|
|
{input:"darr", tag:"mo", output:"\u2193", tex:"downarrow", ttype:CONST},
|
|
{input:"rarr", tag:"mo", output:"\u2192", tex:"rightarrow", ttype:CONST},
|
|
{input:"->", tag:"mo", output:"\u2192", tex:"to", ttype:CONST},
|
|
{input:"|->", tag:"mo", output:"\u21A6", tex:"mapsto", ttype:CONST},
|
|
{input:"larr", tag:"mo", output:"\u2190", tex:"leftarrow", ttype:CONST},
|
|
{input:"harr", tag:"mo", output:"\u2194", tex:"leftrightarrow", ttype:CONST},
|
|
{input:"rArr", tag:"mo", output:"\u21D2", tex:"Rightarrow", ttype:CONST},
|
|
{input:"lArr", tag:"mo", output:"\u21D0", tex:"Leftarrow", ttype:CONST},
|
|
{input:"hArr", tag:"mo", output:"\u21D4", tex:"Leftrightarrow", ttype:CONST},
|
|
|
|
//commands with argument
|
|
AMsqrt, AMroot, AMfrac, AMdiv, AMover, AMsub, AMsup,
|
|
{input:"hat", tag:"mover", output:"\u005E", tex:null, ttype:UNARY, acc:true},
|
|
{input:"bar", tag:"mover", output:"\u00AF", tex:"overline", ttype:UNARY, acc:true},
|
|
{input:"vec", tag:"mover", output:"\u2192", tex:null, ttype:UNARY, acc:true},
|
|
{input:"dot", tag:"mover", output:".", tex:null, ttype:UNARY, acc:true},
|
|
{input:"ddot", tag:"mover", output:"..", tex:null, ttype:UNARY, acc:true},
|
|
{input:"ul", tag:"munder", output:"\u0332", tex:"underline", ttype:UNARY, acc:true},
|
|
AMtext, AMmbox, AMquote,
|
|
{input:"bb", tag:"mstyle", atname:"fontweight", atval:"bold", output:"bb", tex:null, ttype:UNARY},
|
|
{input:"mathbf", tag:"mstyle", atname:"fontweight", atval:"bold", output:"mathbf", tex:null, ttype:UNARY},
|
|
{input:"sf", tag:"mstyle", atname:"fontfamily", atval:"sans-serif", output:"sf", tex:null, ttype:UNARY},
|
|
{input:"mathsf", tag:"mstyle", atname:"fontfamily", atval:"sans-serif", output:"mathsf", tex:null, ttype:UNARY},
|
|
{input:"bbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", output:"bbb", tex:null, ttype:UNARY, codes:AMbbb},
|
|
{input:"mathbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", output:"mathbb", tex:null, ttype:UNARY, codes:AMbbb},
|
|
{input:"cc", tag:"mstyle", atname:"mathvariant", atval:"script", output:"cc", tex:null, ttype:UNARY, codes:AMcal},
|
|
{input:"mathcal", tag:"mstyle", atname:"mathvariant", atval:"script", output:"mathcal", tex:null, ttype:UNARY, codes:AMcal},
|
|
{input:"tt", tag:"mstyle", atname:"fontfamily", atval:"monospace", output:"tt", tex:null, ttype:UNARY},
|
|
{input:"mathtt", tag:"mstyle", atname:"fontfamily", atval:"monospace", output:"mathtt", tex:null, ttype:UNARY},
|
|
{input:"fr", tag:"mstyle", atname:"mathvariant", atval:"fraktur", output:"fr", tex:null, ttype:UNARY, codes:AMfrk},
|
|
{input:"mathfrak", tag:"mstyle", atname:"mathvariant", atval:"fraktur", output:"mathfrak", tex:null, ttype:UNARY, codes:AMfrk}
|
|
];
|
|
|
|
function compareNames(s1,s2) {
|
|
if (s1.input > s2.input) return 1
|
|
else return -1;
|
|
}
|
|
|
|
var AMnames = []; //list of input symbols
|
|
|
|
function AMinitSymbols() {
|
|
var texsymbols = [], i;
|
|
for (i=0; i<AMsymbols.length; i++)
|
|
if (AMsymbols[i].tex)
|
|
texsymbols[texsymbols.length] = {input:AMsymbols[i].tex,
|
|
tag:AMsymbols[i].tag, output:AMsymbols[i].output, ttype:AMsymbols[i].ttype};
|
|
AMsymbols = AMsymbols.concat(texsymbols);
|
|
AMsymbols.sort(compareNames);
|
|
for (i=0; i<AMsymbols.length; i++) AMnames[i] = AMsymbols[i].input;
|
|
}
|
|
|
|
var AMmathml = "http://www.w3.org/1998/Math/MathML";
|
|
|
|
function AMcreateElementMathML(t) {
|
|
if (isIE) return document.createElement("m:"+t);
|
|
else return document.createElementNS(AMmathml,t);
|
|
}
|
|
|
|
function AMcreateMmlNode(t,frag) {
|
|
// var node = AMcreateElementMathML(name);
|
|
if (isIE) var node = document.createElement("m:"+t);
|
|
else var node = document.createElementNS(AMmathml,t);
|
|
node.appendChild(frag);
|
|
return node;
|
|
}
|
|
|
|
function define(oldstr,newstr) {
|
|
AMsymbols = AMsymbols.concat([{input:oldstr, tag:"mo", output:newstr,
|
|
tex:null, ttype:DEFINITION}]);
|
|
AMsymbols.sort(compareNames);
|
|
for (i=0; i<AMsymbols.length; i++) AMnames[i] = AMsymbols[i].input;
|
|
}
|
|
|
|
function AMremoveCharsAndBlanks(str,n) {
|
|
//remove n characters and any following blanks
|
|
var st;
|
|
if (str.charAt(n)=="\\" && str.charAt(n+1)!="\\" && str.charAt(n+1)!=" ")
|
|
st = str.slice(n+1);
|
|
else st = str.slice(n);
|
|
for (var i=0; i<st.length && st.charCodeAt(i)<=32; i=i+1);
|
|
return st.slice(i);
|
|
}
|
|
|
|
function AMposition(arr, str, n) {
|
|
// return position >=n where str appears or would be inserted
|
|
// assumes arr is sorted
|
|
if (n==0) {
|
|
var h,m;
|
|
n = -1;
|
|
h = arr.length;
|
|
while (n+1<h) {
|
|
m = (n+h) >> 1;
|
|
if (arr[m]<str) n = m; else h = m;
|
|
}
|
|
return h;
|
|
} else
|
|
for (var i=n; i<arr.length && arr[i]<str; i++);
|
|
return i; // i=arr.length || arr[i]>=str
|
|
}
|
|
|
|
function AMgetSymbol(str) {
|
|
//return maximal initial substring of str that appears in names
|
|
//return null if there is none
|
|
var k = 0; //new pos
|
|
var j = 0; //old pos
|
|
var mk; //match pos
|
|
var st;
|
|
var tagst;
|
|
var match = "";
|
|
var more = true;
|
|
for (var i=1; i<=str.length && more; i++) {
|
|
st = str.slice(0,i); //initial substring of length i
|
|
j = k;
|
|
k = AMposition(AMnames, st, j);
|
|
if (k<AMnames.length && str.slice(0,AMnames[k].length)==AMnames[k]){
|
|
match = AMnames[k];
|
|
mk = k;
|
|
i = match.length;
|
|
}
|
|
more = k<AMnames.length && str.slice(0,AMnames[k].length)>=AMnames[k];
|
|
}
|
|
AMpreviousSymbol=AMcurrentSymbol;
|
|
if (match!=""){
|
|
AMcurrentSymbol=AMsymbols[mk].ttype;
|
|
return AMsymbols[mk];
|
|
}
|
|
// if str[0] is a digit or - return maxsubstring of digits.digits
|
|
AMcurrentSymbol=CONST;
|
|
k = 1;
|
|
st = str.slice(0,1);
|
|
var integ = true;
|
|
while ("0"<=st && st<="9" && k<=str.length) {
|
|
st = str.slice(k,k+1);
|
|
k++;
|
|
}
|
|
if (st == decimalsign) {
|
|
st = str.slice(k,k+1);
|
|
if ("0"<=st && st<="9") {
|
|
integ = false;
|
|
k++;
|
|
while ("0"<=st && st<="9" && k<=str.length) {
|
|
st = str.slice(k,k+1);
|
|
k++;
|
|
}
|
|
}
|
|
}
|
|
if ((integ && k>1) || k>2) {
|
|
st = str.slice(0,k-1);
|
|
tagst = "mn";
|
|
} else {
|
|
k = 2;
|
|
st = str.slice(0,1); //take 1 character
|
|
tagst = (("A">st || st>"Z") && ("a">st || st>"z")?"mo":"mi");
|
|
}
|
|
if (st=="-" && AMpreviousSymbol==INFIX) {
|
|
AMcurrentSymbol = INFIX; //trick "/" into recognizing "-" on second parse
|
|
return {input:st, tag:tagst, output:st, ttype:UNARY, func:true};
|
|
}
|
|
return {input:st, tag:tagst, output:st, ttype:CONST};
|
|
}
|
|
|
|
function AMremoveBrackets(node) {
|
|
var st;
|
|
if (node.nodeName=="mrow") {
|
|
st = node.firstChild.firstChild.nodeValue;
|
|
if (st=="(" || st=="[" || st=="{") node.removeChild(node.firstChild);
|
|
}
|
|
if (node.nodeName=="mrow") {
|
|
st = node.lastChild.firstChild.nodeValue;
|
|
if (st==")" || st=="]" || st=="}") node.removeChild(node.lastChild);
|
|
}
|
|
}
|
|
|
|
/*Parsing ASCII math expressions with the following grammar
|
|
v ::= [A-Za-z] | greek letters | numbers | other constant symbols
|
|
u ::= sqrt | text | bb | other unary symbols for font commands
|
|
b ::= frac | root | stackrel binary symbols
|
|
l ::= ( | [ | { | (: | {: left brackets
|
|
r ::= ) | ] | } | :) | :} right brackets
|
|
S ::= v | lEr | uS | bSS Simple expression
|
|
I ::= S_S | S^S | S_S^S | S Intermediate expression
|
|
E ::= IE | I/I Expression
|
|
Each terminal symbol is translated into a corresponding mathml node.*/
|
|
|
|
var AMnestingDepth,AMpreviousSymbol,AMcurrentSymbol;
|
|
|
|
function AMparseSexpr(str) { //parses str and returns [node,tailstr]
|
|
var symbol, node, result, i, st,// rightvert = false,
|
|
newFrag = document.createDocumentFragment();
|
|
str = AMremoveCharsAndBlanks(str,0);
|
|
symbol = AMgetSymbol(str); //either a token or a bracket or empty
|
|
if (symbol == null || symbol.ttype == RIGHTBRACKET && AMnestingDepth > 0) {
|
|
return [null,str];
|
|
}
|
|
if (symbol.ttype == DEFINITION) {
|
|
str = symbol.output+AMremoveCharsAndBlanks(str,symbol.input.length);
|
|
symbol = AMgetSymbol(str);
|
|
}
|
|
switch (symbol.ttype) {
|
|
case UNDEROVER:
|
|
case CONST:
|
|
str = AMremoveCharsAndBlanks(str,symbol.input.length);
|
|
return [AMcreateMmlNode(symbol.tag, //its a constant
|
|
document.createTextNode(symbol.output)),str];
|
|
case LEFTBRACKET: //read (expr+)
|
|
AMnestingDepth++;
|
|
str = AMremoveCharsAndBlanks(str,symbol.input.length);
|
|
result = AMparseExpr(str,true);
|
|
AMnestingDepth--;
|
|
if (typeof symbol.invisible == "boolean" && symbol.invisible)
|
|
node = AMcreateMmlNode("mrow",result[0]);
|
|
else {
|
|
node = AMcreateMmlNode("mo",document.createTextNode(symbol.output));
|
|
node = AMcreateMmlNode("mrow",node);
|
|
node.appendChild(result[0]);
|
|
}
|
|
return [node,result[1]];
|
|
case TEXT:
|
|
if (symbol!=AMquote) str = AMremoveCharsAndBlanks(str,symbol.input.length);
|
|
if (str.charAt(0)=="{") i=str.indexOf("}");
|
|
else if (str.charAt(0)=="(") i=str.indexOf(")");
|
|
else if (str.charAt(0)=="[") i=str.indexOf("]");
|
|
else if (symbol==AMquote) i=str.slice(1).indexOf("\"")+1;
|
|
else i = 0;
|
|
if (i==-1) i = str.length;
|
|
st = str.slice(1,i);
|
|
if (st.charAt(0) == " ") {
|
|
node = AMcreateElementMathML("mspace");
|
|
node.setAttribute("width","1ex");
|
|
newFrag.appendChild(node);
|
|
}
|
|
newFrag.appendChild(
|
|
AMcreateMmlNode(symbol.tag,document.createTextNode(st)));
|
|
if (st.charAt(st.length-1) == " ") {
|
|
node = AMcreateElementMathML("mspace");
|
|
node.setAttribute("width","1ex");
|
|
newFrag.appendChild(node);
|
|
}
|
|
str = AMremoveCharsAndBlanks(str,i+1);
|
|
return [AMcreateMmlNode("mrow",newFrag),str];
|
|
case UNARY:
|
|
str = AMremoveCharsAndBlanks(str,symbol.input.length);
|
|
result = AMparseSexpr(str);
|
|
if (result[0]==null) return [AMcreateMmlNode(symbol.tag,
|
|
document.createTextNode(symbol.output)),str];
|
|
if (typeof symbol.func == "boolean" && symbol.func) { // functions hack
|
|
st = str.charAt(0);
|
|
if (st=="^" || st=="_" || st=="/" || st=="|" || st==",") {
|
|
return [AMcreateMmlNode(symbol.tag,
|
|
document.createTextNode(symbol.output)),str];
|
|
} else {
|
|
node = AMcreateMmlNode("mrow",
|
|
AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)));
|
|
node.appendChild(result[0]);
|
|
return [node,result[1]];
|
|
}
|
|
}
|
|
AMremoveBrackets(result[0]);
|
|
if (symbol.input == "sqrt") { // sqrt
|
|
return [AMcreateMmlNode(symbol.tag,result[0]),result[1]];
|
|
} else if (typeof symbol.acc == "boolean" && symbol.acc) { // accent
|
|
node = AMcreateMmlNode(symbol.tag,result[0]);
|
|
node.appendChild(AMcreateMmlNode("mo",document.createTextNode(symbol.output)));
|
|
return [node,result[1]];
|
|
} else { // font change command
|
|
if (!isIE && typeof symbol.codes != "undefined") {
|
|
for (i=0; i<result[0].childNodes.length; i++)
|
|
if (result[0].childNodes[i].nodeName=="mi" || result[0].nodeName=="mi") {
|
|
st = (result[0].nodeName=="mi"?result[0].firstChild.nodeValue:
|
|
result[0].childNodes[i].firstChild.nodeValue);
|
|
var newst = [];
|
|
for (var j=0; j<st.length; j++)
|
|
if (st.charCodeAt(j)>64 && st.charCodeAt(j)<91) newst = newst +
|
|
String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]);
|
|
else newst = newst + st.charAt(j);
|
|
if (result[0].nodeName=="mi")
|
|
result[0]=AMcreateElementMathML("mo").
|
|
appendChild(document.createTextNode(newst));
|
|
else result[0].replaceChild(AMcreateElementMathML("mo").
|
|
appendChild(document.createTextNode(newst)),result[0].childNodes[i]);
|
|
}
|
|
}
|
|
node = AMcreateMmlNode(symbol.tag,result[0]);
|
|
node.setAttribute(symbol.atname,symbol.atval);
|
|
return [node,result[1]];
|
|
}
|
|
case BINARY:
|
|
str = AMremoveCharsAndBlanks(str,symbol.input.length);
|
|
result = AMparseSexpr(str);
|
|
if (result[0]==null) return [AMcreateMmlNode("mo",
|
|
document.createTextNode(symbol.input)),str];
|
|
AMremoveBrackets(result[0]);
|
|
var result2 = AMparseSexpr(result[1]);
|
|
if (result2[0]==null) return [AMcreateMmlNode("mo",
|
|
document.createTextNode(symbol.input)),str];
|
|
AMremoveBrackets(result2[0]);
|
|
if (symbol.input=="root" || symbol.input=="stackrel")
|
|
newFrag.appendChild(result2[0]);
|
|
newFrag.appendChild(result[0]);
|
|
if (symbol.input=="frac") newFrag.appendChild(result2[0]);
|
|
return [AMcreateMmlNode(symbol.tag,newFrag),result2[1]];
|
|
case INFIX:
|
|
str = AMremoveCharsAndBlanks(str,symbol.input.length);
|
|
return [AMcreateMmlNode("mo",document.createTextNode(symbol.output)),str];
|
|
case SPACE:
|
|
str = AMremoveCharsAndBlanks(str,symbol.input.length);
|
|
node = AMcreateElementMathML("mspace");
|
|
node.setAttribute("width","1ex");
|
|
newFrag.appendChild(node);
|
|
newFrag.appendChild(
|
|
AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)));
|
|
node = AMcreateElementMathML("mspace");
|
|
node.setAttribute("width","1ex");
|
|
newFrag.appendChild(node);
|
|
return [AMcreateMmlNode("mrow",newFrag),str];
|
|
case LEFTRIGHT:
|
|
// if (rightvert) return [null,str]; else rightvert = true;
|
|
AMnestingDepth++;
|
|
str = AMremoveCharsAndBlanks(str,symbol.input.length);
|
|
result = AMparseExpr(str,false);
|
|
AMnestingDepth--;
|
|
var st = "";
|
|
if (result[0].lastChild!=null)
|
|
st = result[0].lastChild.firstChild.nodeValue;
|
|
if (st == "|") { // its an absolute value subterm
|
|
node = AMcreateMmlNode("mo",document.createTextNode(symbol.output));
|
|
node = AMcreateMmlNode("mrow",node);
|
|
node.appendChild(result[0]);
|
|
return [node,result[1]];
|
|
} else { // the "|" is a \mid
|
|
node = AMcreateMmlNode("mo",document.createTextNode(symbol.output));
|
|
node = AMcreateMmlNode("mrow",node);
|
|
return [node,str];
|
|
}
|
|
default:
|
|
//alert("default");
|
|
str = AMremoveCharsAndBlanks(str,symbol.input.length);
|
|
return [AMcreateMmlNode(symbol.tag, //its a constant
|
|
document.createTextNode(symbol.output)),str];
|
|
}
|
|
}
|
|
|
|
function AMparseIexpr(str) {
|
|
var symbol, sym1, sym2, node, result, underover;
|
|
str = AMremoveCharsAndBlanks(str,0);
|
|
sym1 = AMgetSymbol(str);
|
|
result = AMparseSexpr(str);
|
|
node = result[0];
|
|
str = result[1];
|
|
symbol = AMgetSymbol(str);
|
|
if (symbol.ttype == INFIX && symbol.input != "/") {
|
|
str = AMremoveCharsAndBlanks(str,symbol.input.length);
|
|
// if (symbol.input == "/") result = AMparseIexpr(str); else ...
|
|
result = AMparseSexpr(str);
|
|
if (result[0] == null) // show box in place of missing argument
|
|
result[0] = AMcreateMmlNode("mo",document.createTextNode("\u25A1"));
|
|
else AMremoveBrackets(result[0]);
|
|
str = result[1];
|
|
// if (symbol.input == "/") AMremoveBrackets(node);
|
|
if (symbol.input == "_") {
|
|
sym2 = AMgetSymbol(str);
|
|
underover = (sym1.ttype == UNDEROVER);
|
|
if (sym2.input == "^") {
|
|
str = AMremoveCharsAndBlanks(str,sym2.input.length);
|
|
var res2 = AMparseSexpr(str);
|
|
AMremoveBrackets(res2[0]);
|
|
str = res2[1];
|
|
node = AMcreateMmlNode((underover?"munderover":"msubsup"),node);
|
|
node.appendChild(result[0]);
|
|
node.appendChild(res2[0]);
|
|
node = AMcreateMmlNode("mrow",node); // so sum does not stretch
|
|
} else {
|
|
node = AMcreateMmlNode((underover?"munder":"msub"),node);
|
|
node.appendChild(result[0]);
|
|
}
|
|
} else {
|
|
node = AMcreateMmlNode(symbol.tag,node);
|
|
node.appendChild(result[0]);
|
|
}
|
|
}
|
|
return [node,str];
|
|
}
|
|
|
|
function AMparseExpr(str,rightbracket) {
|
|
var symbol, node, result, i, nodeList = [],
|
|
newFrag = document.createDocumentFragment();
|
|
do {
|
|
str = AMremoveCharsAndBlanks(str,0);
|
|
result = AMparseIexpr(str);
|
|
node = result[0];
|
|
str = result[1];
|
|
symbol = AMgetSymbol(str);
|
|
if (symbol.ttype == INFIX && symbol.input == "/") {
|
|
str = AMremoveCharsAndBlanks(str,symbol.input.length);
|
|
result = AMparseIexpr(str);
|
|
if (result[0] == null) // show box in place of missing argument
|
|
result[0] = AMcreateMmlNode("mo",document.createTextNode("\u25A1"));
|
|
else AMremoveBrackets(result[0]);
|
|
str = result[1];
|
|
AMremoveBrackets(node);
|
|
node = AMcreateMmlNode(symbol.tag,node);
|
|
node.appendChild(result[0]);
|
|
newFrag.appendChild(node);
|
|
symbol = AMgetSymbol(str);
|
|
}
|
|
else if (node!=undefined) newFrag.appendChild(node);
|
|
} while ((symbol.ttype != RIGHTBRACKET &&
|
|
(symbol.ttype != LEFTRIGHT || rightbracket)
|
|
|| AMnestingDepth == 0) && symbol!=null && symbol.output!="");
|
|
if (symbol.ttype == RIGHTBRACKET || symbol.ttype == LEFTRIGHT) {
|
|
// if (AMnestingDepth > 0) AMnestingDepth--;
|
|
var len = newFrag.childNodes.length;
|
|
if (len>0 && newFrag.childNodes[len-1].nodeName == "mrow" && len>1 &&
|
|
newFrag.childNodes[len-2].nodeName == "mo" &&
|
|
newFrag.childNodes[len-2].firstChild.nodeValue == ",") { //matrix
|
|
var right = newFrag.childNodes[len-1].lastChild.firstChild.nodeValue;
|
|
if (right==")" || right=="]") {
|
|
var left = newFrag.childNodes[len-1].firstChild.firstChild.nodeValue;
|
|
if (left=="(" && right==")" && symbol.output != "}" ||
|
|
left=="[" && right=="]") {
|
|
var pos = []; // positions of commas
|
|
var matrix = true;
|
|
var m = newFrag.childNodes.length;
|
|
for (i=0; matrix && i<m; i=i+2) {
|
|
pos[i] = [];
|
|
node = newFrag.childNodes[i];
|
|
if (matrix) matrix = node.nodeName=="mrow" &&
|
|
(i==m-1 || node.nextSibling.nodeName=="mo" &&
|
|
node.nextSibling.firstChild.nodeValue==",")&&
|
|
node.firstChild.firstChild.nodeValue==left &&
|
|
node.lastChild.firstChild.nodeValue==right;
|
|
if (matrix)
|
|
for (var j=0; j<node.childNodes.length; j++)
|
|
if (node.childNodes[j].firstChild.nodeValue==",")
|
|
pos[i][pos[i].length]=j;
|
|
if (matrix && i>1) matrix = pos[i].length == pos[i-2].length;
|
|
}
|
|
if (matrix) {
|
|
var row, frag, n, k, table = document.createDocumentFragment();
|
|
for (i=0; i<m; i=i+2) {
|
|
row = document.createDocumentFragment();
|
|
frag = document.createDocumentFragment();
|
|
node = newFrag.firstChild; // <mrow>(-,-,...,-,-)</mrow>
|
|
n = node.childNodes.length;
|
|
k = 0;
|
|
node.removeChild(node.firstChild); //remove (
|
|
for (j=1; j<n-1; j++) {
|
|
if (typeof pos[i][k] != "undefined" && j==pos[i][k]){
|
|
node.removeChild(node.firstChild); //remove ,
|
|
row.appendChild(AMcreateMmlNode("mtd",frag));
|
|
k++;
|
|
} else frag.appendChild(node.firstChild);
|
|
}
|
|
row.appendChild(AMcreateMmlNode("mtd",frag));
|
|
if (newFrag.childNodes.length>2) {
|
|
newFrag.removeChild(newFrag.firstChild); //remove <mrow>)</mrow>
|
|
newFrag.removeChild(newFrag.firstChild); //remove <mo>,</mo>
|
|
}
|
|
table.appendChild(AMcreateMmlNode("mtr",row));
|
|
}
|
|
node = AMcreateMmlNode("mtable",table);
|
|
if (typeof symbol.invisible == "boolean" && symbol.invisible) node.setAttribute("columnalign","left");
|
|
newFrag.replaceChild(node,newFrag.firstChild);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
str = AMremoveCharsAndBlanks(str,symbol.input.length);
|
|
if (typeof symbol.invisible != "boolean" || !symbol.invisible) {
|
|
node = AMcreateMmlNode("mo",document.createTextNode(symbol.output));
|
|
newFrag.appendChild(node);
|
|
}
|
|
}
|
|
return [newFrag,str];
|
|
}
|
|
|
|
function AMparseMath(str) {
|
|
var result, node = AMcreateElementMathML("mstyle");
|
|
if (mathcolor != "") node.setAttribute("mathcolor",mathcolor);
|
|
if (displaystyle) node.setAttribute("displaystyle","true");
|
|
if (mathfontfamily != "") node.setAttribute("fontfamily",mathfontfamily);
|
|
AMnestingDepth = 0;
|
|
node.appendChild(AMparseExpr(str.replace(/^\s+/g,""),false)[0]);
|
|
node = AMcreateMmlNode("math",node);
|
|
if (showasciiformulaonhover) //fixed by djhsu so newline
|
|
node.setAttribute("title",str.replace(/\s+/g," "));//does not show in Gecko
|
|
var fnode = AMcreateElementXHTML("span");
|
|
fnode.style.fontSize = mathfontsize;
|
|
if (mathfontfamily != "") fnode.style.fontFamily = mathfontfamily;
|
|
fnode.appendChild(node);
|
|
return fnode;
|
|
}
|
|
|
|
function AMstrarr2docFrag(arr, linebreaks) {
|
|
var newFrag=document.createDocumentFragment();
|
|
var expr = false;
|
|
for (var i=0; i<arr.length; i++) {
|
|
if (expr) newFrag.appendChild(AMparseMath(arr[i]));
|
|
else {
|
|
var arri = (linebreaks ? arr[i].split("\n\n") : [arr[i]]);
|
|
newFrag.appendChild(AMcreateElementXHTML("span").
|
|
appendChild(document.createTextNode(arri[0])));
|
|
for (var j=1; j<arri.length; j++) {
|
|
newFrag.appendChild(AMcreateElementXHTML("p"));
|
|
newFrag.appendChild(AMcreateElementXHTML("span").
|
|
appendChild(document.createTextNode(arri[j])));
|
|
}
|
|
}
|
|
expr = !expr;
|
|
}
|
|
return newFrag;
|
|
}
|
|
|
|
function AMautomathrec(str) {
|
|
//formula is a space (or start of str) followed by a maximal sequence of *two* or more tokens, possibly separated by runs of digits and/or space.
|
|
//tokens are single letters (except a, A, I) and ASCIIMathML tokens
|
|
var texcommand = "\\\\[a-zA-Z]+|\\\\\\s|";
|
|
var ambigAMtoken = "\\b(?:oo|lim|ln|int|oint|del|grad|aleph|prod|prop|sinh|cosh|tanh|cos|sec|pi|tt|fr|sf|sube|supe|sub|sup|det|mod|gcd|lcm|min|max|vec|ddot|ul|chi|eta|nu|mu)(?![a-z])|";
|
|
var englishAMtoken = "\\b(?:sum|ox|log|sin|tan|dim|hat|bar|dot)(?![a-z])|";
|
|
var secondenglishAMtoken = "|\\bI\\b|\\bin\\b|\\btext\\b"; // took if and or not out
|
|
var simpleAMtoken = "NN|ZZ|QQ|RR|CC|TT|AA|EE|sqrt|dx|dy|dz|dt|xx|vv|uu|nn|bb|cc|csc|cot|alpha|beta|delta|Delta|epsilon|gamma|Gamma|kappa|lambda|Lambda|omega|phi|Phi|Pi|psi|Psi|rho|sigma|Sigma|tau|theta|Theta|xi|Xi|zeta"; // uuu nnn?
|
|
var letter = "[a-zA-HJ-Z](?=(?:[^a-zA-Z]|$|"+ambigAMtoken+englishAMtoken+simpleAMtoken+"))|";
|
|
var token = letter+texcommand+"\\d+|[-()[\\]{}+=*&^_%@/<>,\\|!:;'~]|\\.(?!(?:\x20|$))|"+ambigAMtoken+englishAMtoken+simpleAMtoken;
|
|
var re = new RegExp("(^|\\s)((("+token+")\\s?)(("+token+secondenglishAMtoken+")\\s?)+)([,.?]?(?=\\s|$))","g");
|
|
str = str.replace(re," `$2`$7");
|
|
var arr = str.split(AMdelimiter1);
|
|
var re1 = new RegExp("(^|\\s)([b-zB-HJ-Z+*<>]|"+texcommand+ambigAMtoken+simpleAMtoken+")(\\s|\\n|$)","g");
|
|
var re2 = new RegExp("(^|\\s)([a-z]|"+texcommand+ambigAMtoken+simpleAMtoken+")([,.])","g"); // removed |\d+ for now
|
|
for (i=0; i<arr.length; i++) //single nonenglish tokens
|
|
if (i%2==0) {
|
|
arr[i] = arr[i].replace(re1," `$2`$3");
|
|
arr[i] = arr[i].replace(re2," `$2`$3");
|
|
arr[i] = arr[i].replace(/([{}[\]])/,"`$1`");
|
|
}
|
|
str = arr.join(AMdelimiter1);
|
|
str = str.replace(/(\([a-zA-Z]{2,}.*?)\)`/g,"$1`)"); //fix parentheses
|
|
str = str.replace(/`(\((a\s|in\s))(.*?[a-zA-Z]{2,}\))/g,"$1`$3"); //fix parentheses
|
|
str = str.replace(/\sin`/g,"` in");
|
|
str = str.replace(/`(\(\w\)[,.]?(\s|\n|$))/g,"$1`");
|
|
str = str.replace(/`([0-9.]+|e.g)`(\\.)/gi,"$1$2");
|
|
str = str.replace(/`([0-9.]:)`/g,"$1");
|
|
return str;
|
|
}
|
|
|
|
function AMprocessNodeR(n, linebreaks) {
|
|
var mtch, str, arr, frg, i;
|
|
if (n.childNodes.length == 0) {
|
|
if ((n.nodeType!=8 || linebreaks) &&
|
|
n.parentNode.nodeName!="form" && n.parentNode.nodeName!="FORM" &&
|
|
n.parentNode.nodeName!="textarea" && n.parentNode.nodeName!="TEXTAREA" &&
|
|
n.parentNode.nodeName!="pre" && n.parentNode.nodeName!="PRE") {
|
|
str = n.nodeValue;
|
|
if (!(str == null)) {
|
|
str = str.replace(/\r\n\r\n/g,"\n\n");
|
|
str = str.replace(/\x20+/g," ");
|
|
str = str.replace(/\s*\r\n/g," ");
|
|
mtch = false;
|
|
str = str.replace(new RegExp(AMescape1, "g"),
|
|
function(){mtch = true; return "AMescape1"});
|
|
str = str.replace(/\\?end{?a?math}?/i,
|
|
function(){automathrecognize = false; mtch = true; return ""});
|
|
str = str.replace(/amath|\\begin{a?math}/i,
|
|
function(){automathrecognize = true; mtch = true; return ""});
|
|
arr = str.split(AMdelimiter1);
|
|
if (automathrecognize)
|
|
for (i=0; i<arr.length; i++)
|
|
if (i%2==0) arr[i] = AMautomathrec(arr[i]);
|
|
str = arr.join(AMdelimiter1);
|
|
arr = str.split(AMdelimiter1);
|
|
for (i=0; i<arr.length; i++) // this is a problem ************
|
|
arr[i]=arr[i].replace(/AMescape1/g,AMdelimiter1);
|
|
if (arr.length>1 || mtch) {
|
|
if (checkForMathML) {
|
|
checkForMathML = false;
|
|
var nd = AMisMathMLavailable();
|
|
AMnoMathML = nd != null;
|
|
if (AMnoMathML && notifyIfNoMathML)
|
|
if (alertIfNoMathML)
|
|
alert("To view the ASCIIMathML notation use Internet Explorer 6 +\nMathPlayer (free from www.dessci.com)\n\
|
|
or Firefox/Mozilla/Netscape");
|
|
else AMbody.insertBefore(nd,AMbody.childNodes[0]);
|
|
}
|
|
if (!AMnoMathML) {
|
|
frg = AMstrarr2docFrag(arr,n.nodeType==8);
|
|
var len = frg.childNodes.length;
|
|
n.parentNode.replaceChild(frg,n);
|
|
return len-1;
|
|
} else return 0;
|
|
}
|
|
}
|
|
} else return 0;
|
|
} else if (n.nodeName!="math") {
|
|
for (i=0; i<n.childNodes.length; i++)
|
|
i += AMprocessNodeR(n.childNodes[i], linebreaks);
|
|
}
|
|
return 0;
|
|
}
|
|
|
|
function AMprocessNode(n, linebreaks, spanclassAM) {
|
|
var frag,st;
|
|
if (spanclassAM!=null) {
|
|
frag = document.getElementsByTagName("span")
|
|
for (var i=0;i<frag.length;i++)
|
|
if (frag[i].className == "AM")
|
|
AMprocessNodeR(frag[i],linebreaks);
|
|
} else {
|
|
try {
|
|
st = n.innerHTML; // look for AMdelimiter on page
|
|
} catch(err) {}
|
|
// Corrected by Ivan Tcholakov, 04-AUG-2009.
|
|
//if (st==null || /amath|\\begin{a?math}/i.test(st) ||
|
|
// st.indexOf(AMdelimiter1+" ")!=-1 || st.slice(-1)==AMdelimiter1 ||
|
|
// st.indexOf(AMdelimiter1+"<")!=-1 || st.indexOf(AMdelimiter1+"\n")!=-1) {
|
|
// AMprocessNodeR(n,linebreaks);
|
|
//}
|
|
if (st!=null || /amath|\\begin{a?math}/i.test(st) ||
|
|
st.indexOf(AMdelimiter1+" ")!=-1 || st.slice(-1)==AMdelimiter1 ||
|
|
st.indexOf(AMdelimiter1+"<")!=-1 || st.indexOf(AMdelimiter1+"\n")!=-1) {
|
|
AMprocessNodeR(n,linebreaks);
|
|
}
|
|
//
|
|
}
|
|
if (isIE) { //needed to match size and font of formula to surrounding text
|
|
frag = document.getElementsByTagName('math');
|
|
for (var i=0;i<frag.length;i++) frag[i].update()
|
|
}
|
|
}
|
|
|
|
var AMbody;
|
|
var AMnoMathML = false, AMtranslated = false;
|
|
|
|
function translate(spanclassAM) {
|
|
if (!AMtranslated) { // run this only once
|
|
AMtranslated = true;
|
|
AMbody = document.getElementsByTagName("body")[0];
|
|
var processN = document.getElementById(AMdocumentId);
|
|
// var processN = getElementsByClass(AMbody,"div",AMdocumentClass);
|
|
AMprocessNode((processN!=null?processN:AMbody), false, spanclassAM);
|
|
}
|
|
}
|
|
|
|
AMinitSymbols();
|
|
|
|
/*
|
|
LaTeXMathML.js
|
|
==============
|
|
|
|
Version 1.1, July 20, 2007 (c) modifications by Peter Jipsen
|
|
|
|
(changes: renamed global variables from AM... to LM... so that
|
|
LaTeXMathML and ASCIIMathML can be used simultaneously)
|
|
|
|
Previous header notice:
|
|
This file (Version 1.0), is due to Douglas Woodall, June 2006.
|
|
It contains JavaScript functions to convert (most simple) LaTeX
|
|
math notation to Presentation MathML. It was obtained by
|
|
downloading the file ASCIIMathML.js from
|
|
http://www1.chapman.edu/~jipsen/mathml/asciimathdownload/
|
|
and modifying it so that it carries out ONLY those conversions
|
|
that would be carried out in LaTeX. A description of the original
|
|
file, with examples, can be found at
|
|
www1.chapman.edu/~jipsen/mathml/asciimath.html
|
|
ASCIIMathML: Math on the web for everyone
|
|
|
|
Here is the header notice from the original file:
|
|
|
|
ASCIIMathML.js
|
|
==============
|
|
This file contains JavaScript functions to convert ASCII math notation
|
|
to Presentation MathML. The conversion is done while the (X)HTML page
|
|
loads, and should work with Firefox/Mozilla/Netscape 7+ and Internet
|
|
Explorer 6+MathPlayer (http://www.dessci.com/en/products/mathplayer/).
|
|
Just add the next line to your (X)HTML page with this file in the same folder:
|
|
<script type="text/javascript" src="ASCIIMathML.js"></script>
|
|
This is a convenient and inexpensive solution for authoring MathML.
|
|
|
|
Version 1.4.7 Dec 15, 2005, (c) Peter Jipsen http://www.chapman.edu/~jipsen
|
|
Latest version at http://www.chapman.edu/~jipsen/mathml/ASCIIMathML.js
|
|
For changes see http://www.chapman.edu/~jipsen/mathml/asciimathchanges.txt
|
|
If you use it on a webpage, please send the URL to jipsen@chapman.edu
|
|
|
|
This program is free software; you can redistribute it and/or modify
|
|
it under the terms of the GNU Lesser General Public License as published by
|
|
the Free Software Foundation; either version 2.1 of the License, or (at
|
|
your option) any later version.
|
|
|
|
This program is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser
|
|
General Public License (at http://www.gnu.org/license/lgpl.html)
|
|
for more details.
|
|
|
|
LaTeXMathML.js (ctd)
|
|
==============
|
|
|
|
Content between $...$ and $$...$$ is converted by this part of the file
|
|
*/
|
|
|
|
var LMcheckForMathML = true; // check if browser can display MathML
|
|
var LMnotifyIfNoMathML = true; // display note if no MathML capability
|
|
var LMalertIfNoMathML = false; // show alert box if no MathML capability
|
|
var LMmathcolor = ""; // "" (to inherit) or change to another color
|
|
var LMmathfontfamily = "serif"; // change to "" to inherit (works in IE)
|
|
// or another family (e.g. "arial")
|
|
var LMshowasciiformulaonhover = true; // helps students learn LaTeX
|
|
|
|
// all further global variables start with "LM"
|
|
|
|
function LMcreateElementXHTML(t) {
|
|
if (isIE) return document.createElement(t);
|
|
else return document.createElementNS("http://www.w3.org/1999/xhtml",t);
|
|
}
|
|
|
|
function LMnoMathMLNote() {
|
|
var nd = LMcreateElementXHTML("h3");
|
|
nd.setAttribute("align","center")
|
|
nd.appendChild(LMcreateElementXHTML("p"));
|
|
nd.appendChild(document.createTextNode("To view the "));
|
|
var an = LMcreateElementXHTML("a");
|
|
an.appendChild(document.createTextNode("LaTeXMathML"));
|
|
an.setAttribute("href","http://www.maths.nott.ac.uk/personal/drw/lm.html");
|
|
nd.appendChild(an);
|
|
nd.appendChild(document.createTextNode(" notation use Internet Explorer 6+"));
|
|
an = LMcreateElementXHTML("a");
|
|
an.appendChild(document.createTextNode("MathPlayer"));
|
|
an.setAttribute("href","http://www.dessci.com/en/products/mathplayer/download.htm");
|
|
nd.appendChild(an);
|
|
nd.appendChild(document.createTextNode(" or Netscape/Mozilla/Firefox"));
|
|
nd.appendChild(LMcreateElementXHTML("p"));
|
|
return nd;
|
|
}
|
|
|
|
function LMisMathMLavailable() {
|
|
if (navigator.appName.slice(0,8)=="Netscape")
|
|
if (navigator.appVersion.slice(0,1)>="5") return null;
|
|
else return LMnoMathMLNote();
|
|
else if (navigator.appName.slice(0,9)=="Microsoft")
|
|
try {
|
|
var ActiveX = new ActiveXObject("MathPlayer.Factory.1");
|
|
return null;
|
|
} catch (e) {
|
|
return LMnoMathMLNote();
|
|
}
|
|
else return LMnoMathMLNote();
|
|
}
|
|
|
|
// character lists for Mozilla/Netscape fonts
|
|
var LMcal = [0xEF35,0x212C,0xEF36,0xEF37,0x2130,0x2131,0xEF38,0x210B,0x2110,0xEF39,0xEF3A,0x2112,0x2133,0xEF3B,0xEF3C,0xEF3D,0xEF3E,0x211B,0xEF3F,0xEF40,0xEF41,0xEF42,0xEF43,0xEF44,0xEF45,0xEF46];
|
|
var LMfrk = [0xEF5D,0xEF5E,0x212D,0xEF5F,0xEF60,0xEF61,0xEF62,0x210C,0x2111,0xEF63,0xEF64,0xEF65,0xEF66,0xEF67,0xEF68,0xEF69,0xEF6A,0x211C,0xEF6B,0xEF6C,0xEF6D,0xEF6E,0xEF6F,0xEF70,0xEF71,0x2128];
|
|
var LMbbb = [0xEF8C,0xEF8D,0x2102,0xEF8E,0xEF8F,0xEF90,0xEF91,0x210D,0xEF92,0xEF93,0xEF94,0xEF95,0xEF96,0x2115,0xEF97,0x2119,0x211A,0x211D,0xEF98,0xEF99,0xEF9A,0xEF9B,0xEF9C,0xEF9D,0xEF9E,0x2124];
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//var CONST = 0, UNARY = 1, BINARY = 2, INFIX = 3, LEFTBRACKET = 4,
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// RIGHTBRACKET = 5, SPACE = 6, UNDEROVER = 7, DEFINITION = 8, TEXT = 10,
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var BIG = 11, LONG = 12, STRETCHY = 13, MATRIX = 14; // token types
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var LMsqrt = {input:"\\sqrt", tag:"msqrt", output:"sqrt", ttype:UNARY},
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LMroot = {input:"\\root", tag:"mroot", output:"root", ttype:BINARY},
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LMfrac = {input:"\\frac", tag:"mfrac", output:"/", ttype:BINARY},
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LMover = {input:"\\stackrel", tag:"mover", output:"stackrel", ttype:BINARY},
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LMatop = {input:"\\atop", tag:"mfrac", output:"", ttype:INFIX},
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LMchoose = {input:"\\choose", tag:"mfrac", output:"", ttype:INFIX},
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LMsub = {input:"_", tag:"msub", output:"_", ttype:INFIX},
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LMsup = {input:"^", tag:"msup", output:"^", ttype:INFIX},
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LMtext = {input:"\\mathrm", tag:"mtext", output:"text", ttype:TEXT},
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LMmbox = {input:"\\mbox", tag:"mtext", output:"mbox", ttype:TEXT};
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// Commented out by DRW to prevent 1/2 turning into a 2-line fraction
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// LMdiv = {input:"/", tag:"mfrac", output:"/", ttype:INFIX},
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// Commented out by DRW so that " prints literally in equations
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// LMquote = {input:"\"", tag:"mtext", output:"mbox", ttype:TEXT};
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var LMsymbols = [
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//Greek letters
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{input:"\\alpha", tag:"mi", output:"\u03B1", ttype:CONST},
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{input:"\\beta", tag:"mi", output:"\u03B2", ttype:CONST},
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{input:"\\gamma", tag:"mi", output:"\u03B3", ttype:CONST},
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{input:"\\delta", tag:"mi", output:"\u03B4", ttype:CONST},
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{input:"\\epsilon", tag:"mi", output:"\u03B5", ttype:CONST},
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{input:"\\varepsilon", tag:"mi", output:"\u025B", ttype:CONST},
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{input:"\\zeta", tag:"mi", output:"\u03B6", ttype:CONST},
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{input:"\\eta", tag:"mi", output:"\u03B7", ttype:CONST},
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{input:"\\theta", tag:"mi", output:"\u03B8", ttype:CONST},
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{input:"\\vartheta", tag:"mi", output:"\u03D1", ttype:CONST},
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{input:"\\iota", tag:"mi", output:"\u03B9", ttype:CONST},
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{input:"\\kappa", tag:"mi", output:"\u03BA", ttype:CONST},
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{input:"\\lambda", tag:"mi", output:"\u03BB", ttype:CONST},
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{input:"\\mu", tag:"mi", output:"\u03BC", ttype:CONST},
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{input:"\\nu", tag:"mi", output:"\u03BD", ttype:CONST},
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{input:"\\xi", tag:"mi", output:"\u03BE", ttype:CONST},
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{input:"\\pi", tag:"mi", output:"\u03C0", ttype:CONST},
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{input:"\\varpi", tag:"mi", output:"\u03D6", ttype:CONST},
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{input:"\\rho", tag:"mi", output:"\u03C1", ttype:CONST},
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{input:"\\varrho", tag:"mi", output:"\u03F1", ttype:CONST},
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{input:"\\varsigma", tag:"mi", output:"\u03C2", ttype:CONST},
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{input:"\\sigma", tag:"mi", output:"\u03C3", ttype:CONST},
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{input:"\\tau", tag:"mi", output:"\u03C4", ttype:CONST},
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{input:"\\upsilon", tag:"mi", output:"\u03C5", ttype:CONST},
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{input:"\\phi", tag:"mi", output:"\u03C6", ttype:CONST},
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{input:"\\varphi", tag:"mi", output:"\u03D5", ttype:CONST},
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{input:"\\chi", tag:"mi", output:"\u03C7", ttype:CONST},
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{input:"\\psi", tag:"mi", output:"\u03C8", ttype:CONST},
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{input:"\\omega", tag:"mi", output:"\u03C9", ttype:CONST},
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{input:"\\Gamma", tag:"mo", output:"\u0393", ttype:CONST},
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{input:"\\Delta", tag:"mo", output:"\u0394", ttype:CONST},
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{input:"\\Theta", tag:"mo", output:"\u0398", ttype:CONST},
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{input:"\\Lambda", tag:"mo", output:"\u039B", ttype:CONST},
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{input:"\\Xi", tag:"mo", output:"\u039E", ttype:CONST},
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{input:"\\Pi", tag:"mo", output:"\u03A0", ttype:CONST},
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{input:"\\Sigma", tag:"mo", output:"\u03A3", ttype:CONST},
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{input:"\\Upsilon", tag:"mo", output:"\u03A5", ttype:CONST},
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{input:"\\Phi", tag:"mo", output:"\u03A6", ttype:CONST},
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{input:"\\Psi", tag:"mo", output:"\u03A8", ttype:CONST},
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{input:"\\Omega", tag:"mo", output:"\u03A9", ttype:CONST},
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//fractions
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{input:"\\frac12", tag:"mo", output:"\u00BD", ttype:CONST},
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{input:"\\frac14", tag:"mo", output:"\u00BC", ttype:CONST},
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{input:"\\frac34", tag:"mo", output:"\u00BE", ttype:CONST},
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{input:"\\frac13", tag:"mo", output:"\u2153", ttype:CONST},
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{input:"\\frac23", tag:"mo", output:"\u2154", ttype:CONST},
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{input:"\\frac15", tag:"mo", output:"\u2155", ttype:CONST},
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{input:"\\frac25", tag:"mo", output:"\u2156", ttype:CONST},
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{input:"\\frac35", tag:"mo", output:"\u2157", ttype:CONST},
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{input:"\\frac45", tag:"mo", output:"\u2158", ttype:CONST},
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{input:"\\frac16", tag:"mo", output:"\u2159", ttype:CONST},
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{input:"\\frac56", tag:"mo", output:"\u215A", ttype:CONST},
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{input:"\\frac18", tag:"mo", output:"\u215B", ttype:CONST},
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{input:"\\frac38", tag:"mo", output:"\u215C", ttype:CONST},
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{input:"\\frac58", tag:"mo", output:"\u215D", ttype:CONST},
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{input:"\\frac78", tag:"mo", output:"\u215E", ttype:CONST},
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//binary operation symbols
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{input:"\\pm", tag:"mo", output:"\u00B1", ttype:CONST},
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{input:"\\mp", tag:"mo", output:"\u2213", ttype:CONST},
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{input:"\\triangleleft",tag:"mo", output:"\u22B2", ttype:CONST},
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{input:"\\triangleright",tag:"mo",output:"\u22B3", ttype:CONST},
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{input:"\\cdot", tag:"mo", output:"\u22C5", ttype:CONST},
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{input:"\\star", tag:"mo", output:"\u22C6", ttype:CONST},
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{input:"\\ast", tag:"mo", output:"\u002A", ttype:CONST},
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{input:"\\times", tag:"mo", output:"\u00D7", ttype:CONST},
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{input:"\\div", tag:"mo", output:"\u00F7", ttype:CONST},
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{input:"\\circ", tag:"mo", output:"\u2218", ttype:CONST},
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//{input:"\\bullet", tag:"mo", output:"\u2219", ttype:CONST},
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{input:"\\bullet", tag:"mo", output:"\u2022", ttype:CONST},
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{input:"\\oplus", tag:"mo", output:"\u2295", ttype:CONST},
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{input:"\\ominus", tag:"mo", output:"\u2296", ttype:CONST},
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{input:"\\otimes", tag:"mo", output:"\u2297", ttype:CONST},
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{input:"\\bigcirc", tag:"mo", output:"\u25CB", ttype:CONST},
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{input:"\\oslash", tag:"mo", output:"\u2298", ttype:CONST},
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{input:"\\odot", tag:"mo", output:"\u2299", ttype:CONST},
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{input:"\\land", tag:"mo", output:"\u2227", ttype:CONST},
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{input:"\\wedge", tag:"mo", output:"\u2227", ttype:CONST},
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{input:"\\lor", tag:"mo", output:"\u2228", ttype:CONST},
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{input:"\\vee", tag:"mo", output:"\u2228", ttype:CONST},
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{input:"\\cap", tag:"mo", output:"\u2229", ttype:CONST},
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{input:"\\cup", tag:"mo", output:"\u222A", ttype:CONST},
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{input:"\\sqcap", tag:"mo", output:"\u2293", ttype:CONST},
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{input:"\\sqcup", tag:"mo", output:"\u2294", ttype:CONST},
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{input:"\\uplus", tag:"mo", output:"\u228E", ttype:CONST},
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{input:"\\amalg", tag:"mo", output:"\u2210", ttype:CONST},
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{input:"\\bigtriangleup",tag:"mo",output:"\u25B3", ttype:CONST},
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{input:"\\bigtriangledown",tag:"mo",output:"\u25BD", ttype:CONST},
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{input:"\\dag", tag:"mo", output:"\u2020", ttype:CONST},
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{input:"\\dagger", tag:"mo", output:"\u2020", ttype:CONST},
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{input:"\\ddag", tag:"mo", output:"\u2021", ttype:CONST},
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{input:"\\ddagger", tag:"mo", output:"\u2021", ttype:CONST},
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{input:"\\lhd", tag:"mo", output:"\u22B2", ttype:CONST},
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{input:"\\rhd", tag:"mo", output:"\u22B3", ttype:CONST},
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{input:"\\unlhd", tag:"mo", output:"\u22B4", ttype:CONST},
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{input:"\\unrhd", tag:"mo", output:"\u22B5", ttype:CONST},
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//BIG Operators
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{input:"\\sum", tag:"mo", output:"\u2211", ttype:UNDEROVER},
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{input:"\\prod", tag:"mo", output:"\u220F", ttype:UNDEROVER},
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{input:"\\bigcap", tag:"mo", output:"\u22C2", ttype:UNDEROVER},
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{input:"\\bigcup", tag:"mo", output:"\u22C3", ttype:UNDEROVER},
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{input:"\\bigwedge", tag:"mo", output:"\u22C0", ttype:UNDEROVER},
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{input:"\\bigvee", tag:"mo", output:"\u22C1", ttype:UNDEROVER},
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{input:"\\bigsqcap", tag:"mo", output:"\u2A05", ttype:UNDEROVER},
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{input:"\\bigsqcup", tag:"mo", output:"\u2A06", ttype:UNDEROVER},
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{input:"\\coprod", tag:"mo", output:"\u2210", ttype:UNDEROVER},
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{input:"\\bigoplus", tag:"mo", output:"\u2A01", ttype:UNDEROVER},
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{input:"\\bigotimes", tag:"mo", output:"\u2A02", ttype:UNDEROVER},
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{input:"\\bigodot", tag:"mo", output:"\u2A00", ttype:UNDEROVER},
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{input:"\\biguplus", tag:"mo", output:"\u2A04", ttype:UNDEROVER},
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{input:"\\int", tag:"mo", output:"\u222B", ttype:CONST},
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{input:"\\oint", tag:"mo", output:"\u222E", ttype:CONST},
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//binary relation symbols
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{input:":=", tag:"mo", output:":=", ttype:CONST},
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{input:"\\lt", tag:"mo", output:"<", ttype:CONST},
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{input:"\\gt", tag:"mo", output:">", ttype:CONST},
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{input:"\\ne", tag:"mo", output:"\u2260", ttype:CONST},
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{input:"\\neq", tag:"mo", output:"\u2260", ttype:CONST},
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{input:"\\le", tag:"mo", output:"\u2264", ttype:CONST},
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{input:"\\leq", tag:"mo", output:"\u2264", ttype:CONST},
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{input:"\\leqslant", tag:"mo", output:"\u2264", ttype:CONST},
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{input:"\\ge", tag:"mo", output:"\u2265", ttype:CONST},
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{input:"\\geq", tag:"mo", output:"\u2265", ttype:CONST},
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{input:"\\geqslant", tag:"mo", output:"\u2265", ttype:CONST},
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{input:"\\equiv", tag:"mo", output:"\u2261", ttype:CONST},
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{input:"\\ll", tag:"mo", output:"\u226A", ttype:CONST},
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{input:"\\gg", tag:"mo", output:"\u226B", ttype:CONST},
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{input:"\\doteq", tag:"mo", output:"\u2250", ttype:CONST},
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{input:"\\prec", tag:"mo", output:"\u227A", ttype:CONST},
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{input:"\\succ", tag:"mo", output:"\u227B", ttype:CONST},
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{input:"\\preceq", tag:"mo", output:"\u227C", ttype:CONST},
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{input:"\\succeq", tag:"mo", output:"\u227D", ttype:CONST},
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{input:"\\subset", tag:"mo", output:"\u2282", ttype:CONST},
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{input:"\\supset", tag:"mo", output:"\u2283", ttype:CONST},
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{input:"\\subseteq", tag:"mo", output:"\u2286", ttype:CONST},
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{input:"\\supseteq", tag:"mo", output:"\u2287", ttype:CONST},
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{input:"\\sqsubset", tag:"mo", output:"\u228F", ttype:CONST},
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{input:"\\sqsupset", tag:"mo", output:"\u2290", ttype:CONST},
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{input:"\\sqsubseteq", tag:"mo", output:"\u2291", ttype:CONST},
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{input:"\\sqsupseteq", tag:"mo", output:"\u2292", ttype:CONST},
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{input:"\\sim", tag:"mo", output:"\u223C", ttype:CONST},
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{input:"\\simeq", tag:"mo", output:"\u2243", ttype:CONST},
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{input:"\\approx", tag:"mo", output:"\u2248", ttype:CONST},
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{input:"\\cong", tag:"mo", output:"\u2245", ttype:CONST},
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{input:"\\Join", tag:"mo", output:"\u22C8", ttype:CONST},
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{input:"\\bowtie", tag:"mo", output:"\u22C8", ttype:CONST},
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{input:"\\in", tag:"mo", output:"\u2208", ttype:CONST},
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{input:"\\ni", tag:"mo", output:"\u220B", ttype:CONST},
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{input:"\\owns", tag:"mo", output:"\u220B", ttype:CONST},
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{input:"\\propto", tag:"mo", output:"\u221D", ttype:CONST},
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{input:"\\vdash", tag:"mo", output:"\u22A2", ttype:CONST},
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{input:"\\dashv", tag:"mo", output:"\u22A3", ttype:CONST},
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{input:"\\models", tag:"mo", output:"\u22A8", ttype:CONST},
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{input:"\\perp", tag:"mo", output:"\u22A5", ttype:CONST},
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{input:"\\smile", tag:"mo", output:"\u2323", ttype:CONST},
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{input:"\\frown", tag:"mo", output:"\u2322", ttype:CONST},
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{input:"\\asymp", tag:"mo", output:"\u224D", ttype:CONST},
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{input:"\\notin", tag:"mo", output:"\u2209", ttype:CONST},
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//matrices
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{input:"\\begin{eqnarray}", output:"X", ttype:MATRIX, invisible:true},
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{input:"\\begin{array}", output:"X", ttype:MATRIX, invisible:true},
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{input:"\\\\", output:"}&{", ttype:DEFINITION},
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{input:"\\end{eqnarray}", output:"}}", ttype:DEFINITION},
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{input:"\\end{array}", output:"}}", ttype:DEFINITION},
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//grouping and literal brackets -- ieval is for IE
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{input:"\\big", tag:"mo", output:"X", atval:"1.2", ieval:"2.2", ttype:BIG},
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{input:"\\Big", tag:"mo", output:"X", atval:"1.6", ieval:"2.6", ttype:BIG},
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{input:"\\bigg", tag:"mo", output:"X", atval:"2.2", ieval:"3.2", ttype:BIG},
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{input:"\\Bigg", tag:"mo", output:"X", atval:"2.9", ieval:"3.9", ttype:BIG},
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{input:"\\left", tag:"mo", output:"X", ttype:LEFTBRACKET},
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{input:"\\right", tag:"mo", output:"X", ttype:RIGHTBRACKET},
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{input:"{", output:"{", ttype:LEFTBRACKET, invisible:true},
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{input:"}", output:"}", ttype:RIGHTBRACKET, invisible:true},
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{input:"(", tag:"mo", output:"(", atval:"1", ttype:STRETCHY},
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{input:"[", tag:"mo", output:"[", atval:"1", ttype:STRETCHY},
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{input:"\\lbrack", tag:"mo", output:"[", atval:"1", ttype:STRETCHY},
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{input:"\\{", tag:"mo", output:"{", atval:"1", ttype:STRETCHY},
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{input:"\\lbrace", tag:"mo", output:"{", atval:"1", ttype:STRETCHY},
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{input:"\\langle", tag:"mo", output:"\u2329", atval:"1", ttype:STRETCHY},
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{input:"\\lfloor", tag:"mo", output:"\u230A", atval:"1", ttype:STRETCHY},
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{input:"\\lceil", tag:"mo", output:"\u2308", atval:"1", ttype:STRETCHY},
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// rtag:"mi" causes space to be inserted before a following sin, cos, etc.
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// (see function LMparseExpr() )
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{input:")", tag:"mo",output:")", rtag:"mi",atval:"1",ttype:STRETCHY},
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{input:"]", tag:"mo",output:"]", rtag:"mi",atval:"1",ttype:STRETCHY},
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{input:"\\rbrack",tag:"mo",output:"]", rtag:"mi",atval:"1",ttype:STRETCHY},
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{input:"\\}", tag:"mo",output:"}", rtag:"mi",atval:"1",ttype:STRETCHY},
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{input:"\\rbrace",tag:"mo",output:"}", rtag:"mi",atval:"1",ttype:STRETCHY},
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{input:"\\rangle",tag:"mo",output:"\u232A", rtag:"mi",atval:"1",ttype:STRETCHY},
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{input:"\\rfloor",tag:"mo",output:"\u230B", rtag:"mi",atval:"1",ttype:STRETCHY},
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{input:"\\rceil", tag:"mo",output:"\u2309", rtag:"mi",atval:"1",ttype:STRETCHY},
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// "|", "\\|", "\\vert" and "\\Vert" modified later: lspace = rspace = 0em
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{input:"|", tag:"mo", output:"\u2223", atval:"1", ttype:STRETCHY},
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{input:"\\|", tag:"mo", output:"\u2225", atval:"1", ttype:STRETCHY},
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{input:"\\vert", tag:"mo", output:"\u2223", atval:"1", ttype:STRETCHY},
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{input:"\\Vert", tag:"mo", output:"\u2225", atval:"1", ttype:STRETCHY},
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{input:"\\mid", tag:"mo", output:"\u2223", atval:"1", ttype:STRETCHY},
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{input:"\\parallel", tag:"mo", output:"\u2225", atval:"1", ttype:STRETCHY},
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{input:"/", tag:"mo", output:"/", atval:"1.01", ttype:STRETCHY},
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{input:"\\backslash", tag:"mo", output:"\u2216", atval:"1", ttype:STRETCHY},
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{input:"\\setminus", tag:"mo", output:"\\", ttype:CONST},
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//miscellaneous symbols
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{input:"\\!", tag:"mspace", atname:"width", atval:"-0.167em", ttype:SPACE},
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{input:"\\,", tag:"mspace", atname:"width", atval:"0.167em", ttype:SPACE},
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{input:"\\>", tag:"mspace", atname:"width", atval:"0.222em", ttype:SPACE},
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{input:"\\:", tag:"mspace", atname:"width", atval:"0.222em", ttype:SPACE},
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{input:"\\;", tag:"mspace", atname:"width", atval:"0.278em", ttype:SPACE},
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{input:"~", tag:"mspace", atname:"width", atval:"0.333em", ttype:SPACE},
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{input:"\\quad", tag:"mspace", atname:"width", atval:"1em", ttype:SPACE},
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{input:"\\qquad", tag:"mspace", atname:"width", atval:"2em", ttype:SPACE},
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//{input:"{}", tag:"mo", output:"\u200B", ttype:CONST}, // zero-width
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{input:"\\prime", tag:"mo", output:"\u2032", ttype:CONST},
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{input:"'", tag:"mo", output:"\u02B9", ttype:CONST},
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{input:"''", tag:"mo", output:"\u02BA", ttype:CONST},
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{input:"'''", tag:"mo", output:"\u2034", ttype:CONST},
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{input:"''''", tag:"mo", output:"\u2057", ttype:CONST},
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{input:"\\ldots", tag:"mo", output:"\u2026", ttype:CONST},
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{input:"\\cdots", tag:"mo", output:"\u22EF", ttype:CONST},
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{input:"\\vdots", tag:"mo", output:"\u22EE", ttype:CONST},
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|
{input:"\\ddots", tag:"mo", output:"\u22F1", ttype:CONST},
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|
{input:"\\forall", tag:"mo", output:"\u2200", ttype:CONST},
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|
{input:"\\exists", tag:"mo", output:"\u2203", ttype:CONST},
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{input:"\\Re", tag:"mo", output:"\u211C", ttype:CONST},
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{input:"\\Im", tag:"mo", output:"\u2111", ttype:CONST},
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{input:"\\aleph", tag:"mo", output:"\u2135", ttype:CONST},
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{input:"\\hbar", tag:"mo", output:"\u210F", ttype:CONST},
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{input:"\\ell", tag:"mo", output:"\u2113", ttype:CONST},
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{input:"\\wp", tag:"mo", output:"\u2118", ttype:CONST},
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{input:"\\emptyset", tag:"mo", output:"\u2205", ttype:CONST},
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{input:"\\infty", tag:"mo", output:"\u221E", ttype:CONST},
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{input:"\\surd", tag:"mo", output:"\\sqrt{}", ttype:DEFINITION},
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{input:"\\partial", tag:"mo", output:"\u2202", ttype:CONST},
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{input:"\\nabla", tag:"mo", output:"\u2207", ttype:CONST},
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{input:"\\triangle", tag:"mo", output:"\u25B3", ttype:CONST},
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{input:"\\therefore", tag:"mo", output:"\u2234", ttype:CONST},
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{input:"\\angle", tag:"mo", output:"\u2220", ttype:CONST},
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//{input:"\\\\ ", tag:"mo", output:"\u00A0", ttype:CONST},
|
|
{input:"\\diamond", tag:"mo", output:"\u22C4", ttype:CONST},
|
|
//{input:"\\Diamond", tag:"mo", output:"\u25CA", ttype:CONST},
|
|
{input:"\\Diamond", tag:"mo", output:"\u25C7", ttype:CONST},
|
|
{input:"\\neg", tag:"mo", output:"\u00AC", ttype:CONST},
|
|
{input:"\\lnot", tag:"mo", output:"\u00AC", ttype:CONST},
|
|
{input:"\\bot", tag:"mo", output:"\u22A5", ttype:CONST},
|
|
{input:"\\top", tag:"mo", output:"\u22A4", ttype:CONST},
|
|
{input:"\\square", tag:"mo", output:"\u25AB", ttype:CONST},
|
|
{input:"\\Box", tag:"mo", output:"\u25A1", ttype:CONST},
|
|
{input:"\\wr", tag:"mo", output:"\u2240", ttype:CONST},
|
|
|
|
//standard functions
|
|
//Note UNDEROVER *must* have tag:"mo" to work properly
|
|
{input:"\\arccos", tag:"mi", output:"arccos", ttype:UNARY, func:true},
|
|
{input:"\\arcsin", tag:"mi", output:"arcsin", ttype:UNARY, func:true},
|
|
{input:"\\arctan", tag:"mi", output:"arctan", ttype:UNARY, func:true},
|
|
{input:"\\arg", tag:"mi", output:"arg", ttype:UNARY, func:true},
|
|
{input:"\\cos", tag:"mi", output:"cos", ttype:UNARY, func:true},
|
|
{input:"\\cosh", tag:"mi", output:"cosh", ttype:UNARY, func:true},
|
|
{input:"\\cot", tag:"mi", output:"cot", ttype:UNARY, func:true},
|
|
{input:"\\coth", tag:"mi", output:"coth", ttype:UNARY, func:true},
|
|
{input:"\\csc", tag:"mi", output:"csc", ttype:UNARY, func:true},
|
|
{input:"\\deg", tag:"mi", output:"deg", ttype:UNARY, func:true},
|
|
{input:"\\det", tag:"mi", output:"det", ttype:UNARY, func:true},
|
|
{input:"\\dim", tag:"mi", output:"dim", ttype:UNARY, func:true}, //CONST?
|
|
{input:"\\exp", tag:"mi", output:"exp", ttype:UNARY, func:true},
|
|
{input:"\\gcd", tag:"mi", output:"gcd", ttype:UNARY, func:true}, //CONST?
|
|
{input:"\\hom", tag:"mi", output:"hom", ttype:UNARY, func:true},
|
|
{input:"\\inf", tag:"mo", output:"inf", ttype:UNDEROVER},
|
|
{input:"\\ker", tag:"mi", output:"ker", ttype:UNARY, func:true},
|
|
{input:"\\lg", tag:"mi", output:"lg", ttype:UNARY, func:true},
|
|
{input:"\\lim", tag:"mo", output:"lim", ttype:UNDEROVER},
|
|
{input:"\\liminf", tag:"mo", output:"liminf", ttype:UNDEROVER},
|
|
{input:"\\limsup", tag:"mo", output:"limsup", ttype:UNDEROVER},
|
|
{input:"\\ln", tag:"mi", output:"ln", ttype:UNARY, func:true},
|
|
{input:"\\log", tag:"mi", output:"log", ttype:UNARY, func:true},
|
|
{input:"\\max", tag:"mo", output:"max", ttype:UNDEROVER},
|
|
{input:"\\min", tag:"mo", output:"min", ttype:UNDEROVER},
|
|
{input:"\\Pr", tag:"mi", output:"Pr", ttype:UNARY, func:true},
|
|
{input:"\\sec", tag:"mi", output:"sec", ttype:UNARY, func:true},
|
|
{input:"\\sin", tag:"mi", output:"sin", ttype:UNARY, func:true},
|
|
{input:"\\sinh", tag:"mi", output:"sinh", ttype:UNARY, func:true},
|
|
{input:"\\sup", tag:"mo", output:"sup", ttype:UNDEROVER},
|
|
{input:"\\tan", tag:"mi", output:"tan", ttype:UNARY, func:true},
|
|
{input:"\\tanh", tag:"mi", output:"tanh", ttype:UNARY, func:true},
|
|
|
|
//arrows
|
|
{input:"\\gets", tag:"mo", output:"\u2190", ttype:CONST},
|
|
{input:"\\leftarrow", tag:"mo", output:"\u2190", ttype:CONST},
|
|
{input:"\\to", tag:"mo", output:"\u2192", ttype:CONST},
|
|
{input:"\\rightarrow", tag:"mo", output:"\u2192", ttype:CONST},
|
|
{input:"\\leftrightarrow", tag:"mo", output:"\u2194", ttype:CONST},
|
|
{input:"\\uparrow", tag:"mo", output:"\u2191", ttype:CONST},
|
|
{input:"\\downarrow", tag:"mo", output:"\u2193", ttype:CONST},
|
|
{input:"\\updownarrow", tag:"mo", output:"\u2195", ttype:CONST},
|
|
{input:"\\Leftarrow", tag:"mo", output:"\u21D0", ttype:CONST},
|
|
{input:"\\Rightarrow", tag:"mo", output:"\u21D2", ttype:CONST},
|
|
{input:"\\Leftrightarrow", tag:"mo", output:"\u21D4", ttype:CONST},
|
|
{input:"\\iff", tag:"mo", output:"~\\Longleftrightarrow~", ttype:DEFINITION},
|
|
{input:"\\Uparrow", tag:"mo", output:"\u21D1", ttype:CONST},
|
|
{input:"\\Downarrow", tag:"mo", output:"\u21D3", ttype:CONST},
|
|
{input:"\\Updownarrow", tag:"mo", output:"\u21D5", ttype:CONST},
|
|
{input:"\\mapsto", tag:"mo", output:"\u21A6", ttype:CONST},
|
|
{input:"\\longleftarrow", tag:"mo", output:"\u2190", ttype:LONG},
|
|
{input:"\\longrightarrow", tag:"mo", output:"\u2192", ttype:LONG},
|
|
{input:"\\longleftrightarrow", tag:"mo", output:"\u2194", ttype:LONG},
|
|
{input:"\\Longleftarrow", tag:"mo", output:"\u21D0", ttype:LONG},
|
|
{input:"\\Longrightarrow", tag:"mo", output:"\u21D2", ttype:LONG},
|
|
{input:"\\Longleftrightarrow", tag:"mo", output:"\u21D4", ttype:LONG},
|
|
{input:"\\longmapsto", tag:"mo", output:"\u21A6", ttype:CONST},
|
|
// disaster if LONG
|
|
|
|
//commands with argument
|
|
LMsqrt, LMroot, LMfrac, LMover, LMsub, LMsup, LMtext, LMmbox, LMatop, LMchoose,
|
|
//LMdiv, LMquote,
|
|
|
|
//diacritical marks
|
|
{input:"\\acute", tag:"mover", output:"\u00B4", ttype:UNARY, acc:true},
|
|
//{input:"\\acute", tag:"mover", output:"\u0317", ttype:UNARY, acc:true},
|
|
//{input:"\\acute", tag:"mover", output:"\u0301", ttype:UNARY, acc:true},
|
|
//{input:"\\grave", tag:"mover", output:"\u0300", ttype:UNARY, acc:true},
|
|
//{input:"\\grave", tag:"mover", output:"\u0316", ttype:UNARY, acc:true},
|
|
{input:"\\grave", tag:"mover", output:"\u0060", ttype:UNARY, acc:true},
|
|
{input:"\\breve", tag:"mover", output:"\u02D8", ttype:UNARY, acc:true},
|
|
{input:"\\check", tag:"mover", output:"\u02C7", ttype:UNARY, acc:true},
|
|
{input:"\\dot", tag:"mover", output:".", ttype:UNARY, acc:true},
|
|
{input:"\\ddot", tag:"mover", output:"..", ttype:UNARY, acc:true},
|
|
//{input:"\\ddot", tag:"mover", output:"\u00A8", ttype:UNARY, acc:true},
|
|
{input:"\\mathring", tag:"mover", output:"\u00B0", ttype:UNARY, acc:true},
|
|
{input:"\\vec", tag:"mover", output:"\u20D7", ttype:UNARY, acc:true},
|
|
{input:"\\overrightarrow",tag:"mover",output:"\u20D7", ttype:UNARY, acc:true},
|
|
{input:"\\overleftarrow",tag:"mover", output:"\u20D6", ttype:UNARY, acc:true},
|
|
{input:"\\hat", tag:"mover", output:"\u005E", ttype:UNARY, acc:true},
|
|
{input:"\\widehat", tag:"mover", output:"\u0302", ttype:UNARY, acc:true},
|
|
{input:"\\tilde", tag:"mover", output:"~", ttype:UNARY, acc:true},
|
|
//{input:"\\tilde", tag:"mover", output:"\u0303", ttype:UNARY, acc:true},
|
|
{input:"\\widetilde", tag:"mover", output:"\u02DC", ttype:UNARY, acc:true},
|
|
{input:"\\bar", tag:"mover", output:"\u203E", ttype:UNARY, acc:true},
|
|
{input:"\\overbrace", tag:"mover", output:"\u23B4", ttype:UNARY, acc:true},
|
|
{input:"\\overline", tag:"mover", output:"\u00AF", ttype:UNARY, acc:true},
|
|
{input:"\\underbrace", tag:"munder", output:"\u23B5", ttype:UNARY, acc:true},
|
|
{input:"\\underline", tag:"munder", output:"\u00AF", ttype:UNARY, acc:true},
|
|
//{input:"underline", tag:"munder", output:"\u0332", ttype:UNARY, acc:true},
|
|
|
|
//typestyles and fonts
|
|
{input:"\\displaystyle",tag:"mstyle",atname:"displaystyle",atval:"true", ttype:UNARY},
|
|
{input:"\\textstyle",tag:"mstyle",atname:"displaystyle",atval:"false", ttype:UNARY},
|
|
{input:"\\scriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"1", ttype:UNARY},
|
|
{input:"\\scriptscriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"2", ttype:UNARY},
|
|
{input:"\\textrm", tag:"mstyle", output:"\\mathrm", ttype: DEFINITION},
|
|
{input:"\\mathbf", tag:"mstyle", atname:"mathvariant", atval:"bold", ttype:UNARY},
|
|
{input:"\\textbf", tag:"mstyle", atname:"mathvariant", atval:"bold", ttype:UNARY},
|
|
{input:"\\mathit", tag:"mstyle", atname:"mathvariant", atval:"italic", ttype:UNARY},
|
|
{input:"\\textit", tag:"mstyle", atname:"mathvariant", atval:"italic", ttype:UNARY},
|
|
{input:"\\mathtt", tag:"mstyle", atname:"mathvariant", atval:"monospace", ttype:UNARY},
|
|
{input:"\\texttt", tag:"mstyle", atname:"mathvariant", atval:"monospace", ttype:UNARY},
|
|
{input:"\\mathsf", tag:"mstyle", atname:"mathvariant", atval:"sans-serif", ttype:UNARY},
|
|
{input:"\\mathbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", ttype:UNARY, codes:LMbbb},
|
|
{input:"\\mathcal",tag:"mstyle", atname:"mathvariant", atval:"script", ttype:UNARY, codes:LMcal},
|
|
{input:"\\mathfrak",tag:"mstyle",atname:"mathvariant", atval:"fraktur",ttype:UNARY, codes:LMfrk}
|
|
];
|
|
|
|
function compareNames(s1,s2) {
|
|
if (s1.input > s2.input) return 1
|
|
else return -1;
|
|
}
|
|
|
|
var LMnames = []; //list of input symbols
|
|
|
|
function LMinitSymbols() {
|
|
LMsymbols.sort(compareNames);
|
|
for (i=0; i<LMsymbols.length; i++) LMnames[i] = LMsymbols[i].input;
|
|
}
|
|
|
|
var LMmathml = "http://www.w3.org/1998/Math/MathML";
|
|
|
|
function LMcreateElementMathML(t) {
|
|
if (isIE) return document.createElement("m:"+t);
|
|
else return document.createElementNS(LMmathml,t);
|
|
}
|
|
|
|
function LMcreateMmlNode(t,frag) {
|
|
// var node = LMcreateElementMathML(name);
|
|
if (isIE) var node = document.createElement("m:"+t);
|
|
else var node = document.createElementNS(LMmathml,t);
|
|
node.appendChild(frag);
|
|
return node;
|
|
}
|
|
|
|
function newcommand(oldstr,newstr) {
|
|
LMsymbols = LMsymbols.concat([{input:oldstr, tag:"mo", output:newstr,
|
|
ttype:DEFINITION}]);
|
|
}
|
|
|
|
function LMremoveCharsAndBlanks(str,n) {
|
|
//remove n characters and any following blanks
|
|
var st;
|
|
st = str.slice(n);
|
|
for (var i=0; i<st.length && st.charCodeAt(i)<=32; i=i+1);
|
|
return st.slice(i);
|
|
}
|
|
|
|
function LMposition(arr, str, n) {
|
|
// return position >=n where str appears or would be inserted
|
|
// assumes arr is sorted
|
|
if (n==0) {
|
|
var h,m;
|
|
n = -1;
|
|
h = arr.length;
|
|
while (n+1<h) {
|
|
m = (n+h) >> 1;
|
|
if (arr[m]<str) n = m; else h = m;
|
|
}
|
|
return h;
|
|
} else
|
|
for (var i=n; i<arr.length && arr[i]<str; i++);
|
|
return i; // i=arr.length || arr[i]>=str
|
|
}
|
|
|
|
function LMgetSymbol(str) {
|
|
//return maximal initial substring of str that appears in names
|
|
//return null if there is none
|
|
var k = 0; //new pos
|
|
var j = 0; //old pos
|
|
var mk; //match pos
|
|
var st;
|
|
var tagst;
|
|
var match = "";
|
|
var more = true;
|
|
for (var i=1; i<=str.length && more; i++) {
|
|
st = str.slice(0,i); //initial substring of length i
|
|
j = k;
|
|
k = LMposition(LMnames, st, j);
|
|
if (k<LMnames.length && str.slice(0,LMnames[k].length)==LMnames[k]){
|
|
match = LMnames[k];
|
|
mk = k;
|
|
i = match.length;
|
|
}
|
|
more = k<LMnames.length && str.slice(0,LMnames[k].length)>=LMnames[k];
|
|
}
|
|
LMpreviousSymbol=LMcurrentSymbol;
|
|
if (match!=""){
|
|
LMcurrentSymbol=LMsymbols[mk].ttype;
|
|
return LMsymbols[mk];
|
|
}
|
|
LMcurrentSymbol=CONST;
|
|
k = 1;
|
|
st = str.slice(0,1); //take 1 character
|
|
if ("0"<=st && st<="9") tagst = "mn";
|
|
else tagst = (("A">st || st>"Z") && ("a">st || st>"z")?"mo":"mi");
|
|
/*
|
|
// Commented out by DRW (not fully understood, but probably to do with
|
|
// use of "/" as an INFIX version of "\\frac", which we don't want):
|
|
//}
|
|
//if (st=="-" && LMpreviousSymbol==INFIX) {
|
|
// LMcurrentSymbol = INFIX; //trick "/" into recognizing "-" on second parse
|
|
// return {input:st, tag:tagst, output:st, ttype:UNARY, func:true};
|
|
//}
|
|
*/
|
|
return {input:st, tag:tagst, output:st, ttype:CONST};
|
|
}
|
|
|
|
|
|
/*Parsing ASCII math expressions with the following grammar
|
|
v ::= [A-Za-z] | greek letters | numbers | other constant symbols
|
|
u ::= sqrt | text | bb | other unary symbols for font commands
|
|
b ::= frac | root | stackrel binary symbols
|
|
l ::= { | \left left brackets
|
|
r ::= } | \right right brackets
|
|
S ::= v | lEr | uS | bSS Simple expression
|
|
I ::= S_S | S^S | S_S^S | S Intermediate expression
|
|
E ::= IE | I/I Expression
|
|
Each terminal symbol is translated into a corresponding mathml node.*/
|
|
|
|
var LMpreviousSymbol,LMcurrentSymbol;
|
|
|
|
function LMparseSexpr(str) { //parses str and returns [node,tailstr,(node)tag]
|
|
var symbol, node, result, result2, i, st,// rightvert = false,
|
|
newFrag = document.createDocumentFragment();
|
|
str = LMremoveCharsAndBlanks(str,0);
|
|
symbol = LMgetSymbol(str); //either a token or a bracket or empty
|
|
if (symbol == null || symbol.ttype == RIGHTBRACKET)
|
|
return [null,str,null];
|
|
if (symbol.ttype == DEFINITION) {
|
|
str = symbol.output+LMremoveCharsAndBlanks(str,symbol.input.length);
|
|
symbol = LMgetSymbol(str);
|
|
if (symbol == null || symbol.ttype == RIGHTBRACKET)
|
|
return [null,str,null];
|
|
}
|
|
str = LMremoveCharsAndBlanks(str,symbol.input.length);
|
|
switch (symbol.ttype) {
|
|
case SPACE:
|
|
node = LMcreateElementMathML(symbol.tag);
|
|
node.setAttribute(symbol.atname,symbol.atval);
|
|
return [node,str,symbol.tag];
|
|
case UNDEROVER:
|
|
if (isIE) {
|
|
if (symbol.input.substr(0,4) == "\\big") { // botch for missing symbols
|
|
str = "\\"+symbol.input.substr(4)+str; // make \bigcup = \cup etc.
|
|
symbol = LMgetSymbol(str);
|
|
symbol.ttype = UNDEROVER;
|
|
str = LMremoveCharsAndBlanks(str,symbol.input.length);
|
|
}
|
|
}
|
|
return [LMcreateMmlNode(symbol.tag,
|
|
document.createTextNode(symbol.output)),str,symbol.tag];
|
|
case CONST:
|
|
var output = symbol.output;
|
|
if (isIE) {
|
|
if (symbol.input == "'")
|
|
output = "\u2032";
|
|
else if (symbol.input == "''")
|
|
output = "\u2033";
|
|
else if (symbol.input == "'''")
|
|
output = "\u2033\u2032";
|
|
else if (symbol.input == "''''")
|
|
output = "\u2033\u2033";
|
|
else if (symbol.input == "\\square")
|
|
output = "\u25A1"; // same as \Box
|
|
else if (symbol.input.substr(0,5) == "\\frac") {
|
|
// botch for missing fractions
|
|
var denom = symbol.input.substr(6,1);
|
|
if (denom == "5" || denom == "6") {
|
|
str = symbol.input.replace(/\\frac/,"\\frac ")+str;
|
|
return [node,str,symbol.tag];
|
|
}
|
|
}
|
|
}
|
|
node = LMcreateMmlNode(symbol.tag,document.createTextNode(output));
|
|
return [node,str,symbol.tag];
|
|
case LONG: // added by DRW
|
|
node = LMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output));
|
|
node.setAttribute("minsize","1.5");
|
|
node.setAttribute("maxsize","1.5");
|
|
node = LMcreateMmlNode("mover",node);
|
|
node.appendChild(LMcreateElementMathML("mspace"));
|
|
return [node,str,symbol.tag];
|
|
case STRETCHY: // added by DRW
|
|
if (isIE && symbol.input == "\\backslash")
|
|
symbol.output = "\\"; // doesn't expand, but then nor does "\u2216"
|
|
node = LMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output));
|
|
if (symbol.input == "|" || symbol.input == "\\vert" ||
|
|
symbol.input == "\\|" || symbol.input == "\\Vert") {
|
|
node.setAttribute("lspace","0em");
|
|
node.setAttribute("rspace","0em");
|
|
}
|
|
node.setAttribute("maxsize",symbol.atval); // don't allow to stretch here
|
|
if (symbol.rtag != null)
|
|
return [node,str,symbol.rtag];
|
|
else
|
|
return [node,str,symbol.tag];
|
|
case BIG: // added by DRW
|
|
var atval = symbol.atval;
|
|
if (isIE)
|
|
atval = symbol.ieval;
|
|
symbol = LMgetSymbol(str);
|
|
if (symbol == null)
|
|
return [null,str,null];
|
|
str = LMremoveCharsAndBlanks(str,symbol.input.length);
|
|
node = LMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output));
|
|
if (isIE) { // to get brackets to expand
|
|
var space = LMcreateElementMathML("mspace");
|
|
space.setAttribute("height",atval+"ex");
|
|
node = LMcreateMmlNode("mrow",node);
|
|
node.appendChild(space);
|
|
} else { // ignored in IE
|
|
node.setAttribute("minsize",atval);
|
|
node.setAttribute("maxsize",atval);
|
|
}
|
|
return [node,str,symbol.tag];
|
|
case LEFTBRACKET: //read (expr+)
|
|
if (symbol.input == "\\left") { // left what?
|
|
symbol = LMgetSymbol(str);
|
|
if (symbol != null) {
|
|
if (symbol.input == ".")
|
|
symbol.invisible = true;
|
|
str = LMremoveCharsAndBlanks(str,symbol.input.length);
|
|
}
|
|
}
|
|
result = LMparseExpr(str,true,false);
|
|
if (symbol==null ||
|
|
(typeof symbol.invisible == "boolean" && symbol.invisible))
|
|
node = LMcreateMmlNode("mrow",result[0]);
|
|
else {
|
|
node = LMcreateMmlNode("mo",document.createTextNode(symbol.output));
|
|
node = LMcreateMmlNode("mrow",node);
|
|
node.appendChild(result[0]);
|
|
}
|
|
return [node,result[1],result[2]];
|
|
case MATRIX: //read (expr+)
|
|
if (symbol.input == "\\begin{array}") {
|
|
var mask = "";
|
|
symbol = LMgetSymbol(str);
|
|
str = LMremoveCharsAndBlanks(str,0);
|
|
if (symbol == null)
|
|
mask = "l";
|
|
else {
|
|
str = LMremoveCharsAndBlanks(str,symbol.input.length);
|
|
if (symbol.input != "{")
|
|
mask = "l";
|
|
else do {
|
|
symbol = LMgetSymbol(str);
|
|
if (symbol != null) {
|
|
str = LMremoveCharsAndBlanks(str,symbol.input.length);
|
|
if (symbol.input != "}")
|
|
mask = mask+symbol.input;
|
|
}
|
|
} while (symbol != null && symbol.input != "" && symbol.input != "}");
|
|
}
|
|
result = LMparseExpr("{"+str,true,true);
|
|
// if (result[0]==null) return [LMcreateMmlNode("mo",
|
|
// document.createTextNode(symbol.input)),str];
|
|
node = LMcreateMmlNode("mtable",result[0]);
|
|
mask = mask.replace(/l/g,"left ");
|
|
mask = mask.replace(/r/g,"right ");
|
|
mask = mask.replace(/c/g,"center ");
|
|
node.setAttribute("columnalign",mask);
|
|
node.setAttribute("displaystyle","false");
|
|
if (isIE)
|
|
return [node,result[1],null];
|
|
// trying to get a *little* bit of space around the array
|
|
// (IE already includes it)
|
|
var lspace = LMcreateElementMathML("mspace");
|
|
lspace.setAttribute("width","0.167em");
|
|
var rspace = LMcreateElementMathML("mspace");
|
|
rspace.setAttribute("width","0.167em");
|
|
var node1 = LMcreateMmlNode("mrow",lspace);
|
|
node1.appendChild(node);
|
|
node1.appendChild(rspace);
|
|
return [node1,result[1],null];
|
|
} else { // eqnarray
|
|
result = LMparseExpr("{"+str,true,true);
|
|
node = LMcreateMmlNode("mtable",result[0]);
|
|
if (isIE)
|
|
node.setAttribute("columnspacing","0.25em"); // best in practice?
|
|
else
|
|
node.setAttribute("columnspacing","0.167em"); // correct (but ignored?)
|
|
node.setAttribute("columnalign","right center left");
|
|
node.setAttribute("displaystyle","true");
|
|
node = LMcreateMmlNode("mrow",node);
|
|
return [node,result[1],null];
|
|
}
|
|
case TEXT:
|
|
if (str.charAt(0)=="{") i=str.indexOf("}");
|
|
else i = 0;
|
|
if (i==-1)
|
|
i = str.length;
|
|
st = str.slice(1,i);
|
|
if (st.charAt(0) == " ") {
|
|
node = LMcreateElementMathML("mspace");
|
|
node.setAttribute("width","0.33em"); // was 1ex
|
|
newFrag.appendChild(node);
|
|
}
|
|
newFrag.appendChild(
|
|
LMcreateMmlNode(symbol.tag,document.createTextNode(st)));
|
|
if (st.charAt(st.length-1) == " ") {
|
|
node = LMcreateElementMathML("mspace");
|
|
node.setAttribute("width","0.33em"); // was 1ex
|
|
newFrag.appendChild(node);
|
|
}
|
|
str = LMremoveCharsAndBlanks(str,i+1);
|
|
return [LMcreateMmlNode("mrow",newFrag),str,null];
|
|
case UNARY:
|
|
result = LMparseSexpr(str);
|
|
if (result[0]==null) return [LMcreateMmlNode(symbol.tag,
|
|
document.createTextNode(symbol.output)),str];
|
|
if (typeof symbol.func == "boolean" && symbol.func) { // functions hack
|
|
st = str.charAt(0);
|
|
// if (st=="^" || st=="_" || st=="/" || st=="|" || st==",") {
|
|
if (st=="^" || st=="_" || st==",") {
|
|
return [LMcreateMmlNode(symbol.tag,
|
|
document.createTextNode(symbol.output)),str,symbol.tag];
|
|
} else {
|
|
node = LMcreateMmlNode("mrow",
|
|
LMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)));
|
|
if (isIE) {
|
|
var space = LMcreateElementMathML("mspace");
|
|
space.setAttribute("width","0.167em");
|
|
node.appendChild(space);
|
|
}
|
|
node.appendChild(result[0]);
|
|
return [node,result[1],symbol.tag];
|
|
}
|
|
}
|
|
if (symbol.input == "\\sqrt") { // sqrt
|
|
if (isIE) { // set minsize, for \surd
|
|
var space = LMcreateElementMathML("mspace");
|
|
space.setAttribute("height","1.2ex");
|
|
space.setAttribute("width","0em"); // probably no effect
|
|
node = LMcreateMmlNode(symbol.tag,result[0])
|
|
// node.setAttribute("minsize","1"); // ignored
|
|
// node = LMcreateMmlNode("mrow",node); // hopefully unnecessary
|
|
node.appendChild(space);
|
|
return [node,result[1],symbol.tag];
|
|
} else
|
|
return [LMcreateMmlNode(symbol.tag,result[0]),result[1],symbol.tag];
|
|
} else if (typeof symbol.acc == "boolean" && symbol.acc) { // accent
|
|
node = LMcreateMmlNode(symbol.tag,result[0]);
|
|
var output = symbol.output;
|
|
if (isIE) {
|
|
if (symbol.input == "\\hat")
|
|
output = "\u0302";
|
|
else if (symbol.input == "\\widehat")
|
|
output = "\u005E";
|
|
else if (symbol.input == "\\bar")
|
|
output = "\u00AF";
|
|
else if (symbol.input == "\\grave")
|
|
output = "\u0300";
|
|
else if (symbol.input == "\\tilde")
|
|
output = "\u0303";
|
|
}
|
|
var node1 = LMcreateMmlNode("mo",document.createTextNode(output));
|
|
if (symbol.input == "\\vec" || symbol.input == "\\check")
|
|
// don't allow to stretch
|
|
node1.setAttribute("maxsize","1.2");
|
|
// why doesn't "1" work? \vec nearly disappears in firefox
|
|
if (isIE && symbol.input == "\\bar")
|
|
node1.setAttribute("maxsize","0.5");
|
|
if (symbol.input == "\\underbrace" || symbol.input == "\\underline")
|
|
node1.setAttribute("accentunder","true");
|
|
else
|
|
node1.setAttribute("accent","true");
|
|
node.appendChild(node1);
|
|
if (symbol.input == "\\overbrace" || symbol.input == "\\underbrace")
|
|
node.ttype = UNDEROVER;
|
|
return [node,result[1],symbol.tag];
|
|
} else { // font change or displaystyle command
|
|
if (!isIE && typeof symbol.codes != "undefined") {
|
|
for (i=0; i<result[0].childNodes.length; i++)
|
|
if (result[0].childNodes[i].nodeName=="mi" || result[0].nodeName=="mi") {
|
|
st = (result[0].nodeName=="mi"?result[0].firstChild.nodeValue:
|
|
result[0].childNodes[i].firstChild.nodeValue);
|
|
var newst = [];
|
|
for (var j=0; j<st.length; j++)
|
|
if (st.charCodeAt(j)>64 && st.charCodeAt(j)<91) newst = newst +
|
|
String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]);
|
|
else newst = newst + st.charAt(j);
|
|
if (result[0].nodeName=="mi")
|
|
result[0]=LMcreateElementMathML("mo").
|
|
appendChild(document.createTextNode(newst));
|
|
else result[0].replaceChild(LMcreateElementMathML("mo").
|
|
appendChild(document.createTextNode(newst)),result[0].childNodes[i]);
|
|
}
|
|
}
|
|
node = LMcreateMmlNode(symbol.tag,result[0]);
|
|
node.setAttribute(symbol.atname,symbol.atval);
|
|
if (symbol.input == "\\scriptstyle" ||
|
|
symbol.input == "\\scriptscriptstyle")
|
|
node.setAttribute("displaystyle","false");
|
|
return [node,result[1],symbol.tag];
|
|
}
|
|
case BINARY:
|
|
result = LMparseSexpr(str);
|
|
if (result[0]==null) return [LMcreateMmlNode("mo",
|
|
document.createTextNode(symbol.input)),str,null];
|
|
result2 = LMparseSexpr(result[1]);
|
|
if (result2[0]==null) return [LMcreateMmlNode("mo",
|
|
document.createTextNode(symbol.input)),str,null];
|
|
if (symbol.input=="\\root" || symbol.input=="\\stackrel")
|
|
newFrag.appendChild(result2[0]);
|
|
newFrag.appendChild(result[0]);
|
|
if (symbol.input=="\\frac") newFrag.appendChild(result2[0]);
|
|
return [LMcreateMmlNode(symbol.tag,newFrag),result2[1],symbol.tag];
|
|
case INFIX:
|
|
str = LMremoveCharsAndBlanks(str,symbol.input.length);
|
|
return [LMcreateMmlNode("mo",document.createTextNode(symbol.output)),
|
|
str,symbol.tag];
|
|
default:
|
|
return [LMcreateMmlNode(symbol.tag, //its a constant
|
|
document.createTextNode(symbol.output)),str,symbol.tag];
|
|
}
|
|
}
|
|
|
|
function LMparseIexpr(str) {
|
|
var symbol, sym1, sym2, node, result, tag, underover;
|
|
str = LMremoveCharsAndBlanks(str,0);
|
|
sym1 = LMgetSymbol(str);
|
|
result = LMparseSexpr(str);
|
|
node = result[0];
|
|
str = result[1];
|
|
tag = result[2];
|
|
symbol = LMgetSymbol(str);
|
|
if (symbol.ttype == INFIX) {
|
|
str = LMremoveCharsAndBlanks(str,symbol.input.length);
|
|
result = LMparseSexpr(str);
|
|
if (result[0] == null) // show box in place of missing argument
|
|
result[0] = LMcreateMmlNode("mo",document.createTextNode("\u25A1"));
|
|
str = result[1];
|
|
tag = result[2];
|
|
if (symbol.input == "_" || symbol.input == "^") {
|
|
sym2 = LMgetSymbol(str);
|
|
tag = null; // no space between x^2 and a following sin, cos, etc.
|
|
// This is for \underbrace and \overbrace
|
|
underover = ((sym1.ttype == UNDEROVER) || (node.ttype == UNDEROVER));
|
|
// underover = (sym1.ttype == UNDEROVER);
|
|
if (symbol.input == "_" && sym2.input == "^") {
|
|
str = LMremoveCharsAndBlanks(str,sym2.input.length);
|
|
var res2 = LMparseSexpr(str);
|
|
str = res2[1];
|
|
tag = res2[2]; // leave space between x_1^2 and a following sin etc.
|
|
node = LMcreateMmlNode((underover?"munderover":"msubsup"),node);
|
|
node.appendChild(result[0]);
|
|
node.appendChild(res2[0]);
|
|
} else if (symbol.input == "_") {
|
|
node = LMcreateMmlNode((underover?"munder":"msub"),node);
|
|
node.appendChild(result[0]);
|
|
} else {
|
|
node = LMcreateMmlNode((underover?"mover":"msup"),node);
|
|
node.appendChild(result[0]);
|
|
}
|
|
node = LMcreateMmlNode("mrow",node); // so sum does not stretch
|
|
} else {
|
|
node = LMcreateMmlNode(symbol.tag,node);
|
|
if (symbol.input == "\\atop" || symbol.input == "\\choose")
|
|
node.setAttribute("linethickness","0ex");
|
|
node.appendChild(result[0]);
|
|
if (symbol.input == "\\choose")
|
|
node = LMcreateMmlNode("mfenced",node);
|
|
}
|
|
}
|
|
return [node,str,tag];
|
|
}
|
|
|
|
function LMparseExpr(str,rightbracket,matrix) {
|
|
var symbol, node, result, i, tag,
|
|
newFrag = document.createDocumentFragment();
|
|
do {
|
|
str = LMremoveCharsAndBlanks(str,0);
|
|
result = LMparseIexpr(str);
|
|
node = result[0];
|
|
str = result[1];
|
|
tag = result[2];
|
|
symbol = LMgetSymbol(str);
|
|
if (node!=undefined) {
|
|
if ((tag == "mn" || tag == "mi") && symbol!=null &&
|
|
typeof symbol.func == "boolean" && symbol.func) {
|
|
// Add space before \sin in 2\sin x or x\sin x
|
|
var space = LMcreateElementMathML("mspace");
|
|
space.setAttribute("width","0.167em");
|
|
node = LMcreateMmlNode("mrow",node);
|
|
node.appendChild(space);
|
|
}
|
|
newFrag.appendChild(node);
|
|
}
|
|
} while ((symbol.ttype != RIGHTBRACKET)
|
|
&& symbol!=null && symbol.output!="");
|
|
tag = null;
|
|
if (symbol.ttype == RIGHTBRACKET) {
|
|
if (symbol.input == "\\right") { // right what?
|
|
str = LMremoveCharsAndBlanks(str,symbol.input.length);
|
|
symbol = LMgetSymbol(str);
|
|
if (symbol != null && symbol.input == ".")
|
|
symbol.invisible = true;
|
|
if (symbol != null)
|
|
tag = symbol.rtag;
|
|
}
|
|
if (symbol!=null)
|
|
str = LMremoveCharsAndBlanks(str,symbol.input.length); // ready to return
|
|
var len = newFrag.childNodes.length;
|
|
if (matrix &&
|
|
len>0 && newFrag.childNodes[len-1].nodeName == "mrow" && len>1 &&
|
|
newFrag.childNodes[len-2].nodeName == "mo" &&
|
|
newFrag.childNodes[len-2].firstChild.nodeValue == "&") { //matrix
|
|
var pos = []; // positions of ampersands
|
|
var m = newFrag.childNodes.length;
|
|
for (i=0; matrix && i<m; i=i+2) {
|
|
pos[i] = [];
|
|
node = newFrag.childNodes[i];
|
|
for (var j=0; j<node.childNodes.length; j++)
|
|
if (node.childNodes[j].firstChild.nodeValue=="&")
|
|
pos[i][pos[i].length]=j;
|
|
}
|
|
var row, frag, n, k, table = document.createDocumentFragment();
|
|
for (i=0; i<m; i=i+2) {
|
|
row = document.createDocumentFragment();
|
|
frag = document.createDocumentFragment();
|
|
node = newFrag.firstChild; // <mrow> -&-&...&-&- </mrow>
|
|
n = node.childNodes.length;
|
|
k = 0;
|
|
for (j=0; j<n; j++) {
|
|
if (typeof pos[i][k] != "undefined" && j==pos[i][k]){
|
|
node.removeChild(node.firstChild); //remove &
|
|
row.appendChild(LMcreateMmlNode("mtd",frag));
|
|
k++;
|
|
} else frag.appendChild(node.firstChild);
|
|
}
|
|
row.appendChild(LMcreateMmlNode("mtd",frag));
|
|
if (newFrag.childNodes.length>2) {
|
|
newFrag.removeChild(newFrag.firstChild); //remove <mrow> </mrow>
|
|
newFrag.removeChild(newFrag.firstChild); //remove <mo>&</mo>
|
|
}
|
|
table.appendChild(LMcreateMmlNode("mtr",row));
|
|
}
|
|
return [table,str];
|
|
}
|
|
if (typeof symbol.invisible != "boolean" || !symbol.invisible) {
|
|
node = LMcreateMmlNode("mo",document.createTextNode(symbol.output));
|
|
newFrag.appendChild(node);
|
|
}
|
|
}
|
|
return [newFrag,str,tag];
|
|
}
|
|
|
|
function LMparseMath(str) {
|
|
var result, node = LMcreateElementMathML("mstyle");
|
|
if (LMmathcolor != "") node.setAttribute("mathcolor",LMmathcolor);
|
|
if (LMmathfontfamily != "") node.setAttribute("fontfamily",LMmathfontfamily);
|
|
node.appendChild(LMparseExpr(str.replace(/^\s+/g,""),false,false)[0]);
|
|
node = LMcreateMmlNode("math",node);
|
|
if (LMshowasciiformulaonhover) //fixed by djhsu so newline
|
|
node.setAttribute("title",str.replace(/\s+/g," "));//does not show in Gecko
|
|
var fnode = LMcreateElementXHTML("span");
|
|
fnode.style.fontSize = mathfontsize;
|
|
if (LMmathfontfamily != "") fnode.style.fontFamily = LMmathfontfamily;
|
|
fnode.appendChild(node);
|
|
return fnode;
|
|
}
|
|
|
|
function LMstrarr2docFrag(arr, linebreaks) {
|
|
var newFrag=document.createDocumentFragment();
|
|
var expr = false;
|
|
for (var i=0; i<arr.length; i++) {
|
|
if (expr) newFrag.appendChild(LMparseMath(arr[i]));
|
|
else {
|
|
var arri = (linebreaks ? arr[i].split("\n\n") : [arr[i]]);
|
|
newFrag.appendChild(LMcreateElementXHTML("span").
|
|
appendChild(document.createTextNode(arri[0])));
|
|
for (var j=1; j<arri.length; j++) {
|
|
newFrag.appendChild(LMcreateElementXHTML("p"));
|
|
newFrag.appendChild(LMcreateElementXHTML("span").
|
|
appendChild(document.createTextNode(arri[j])));
|
|
}
|
|
}
|
|
expr = !expr;
|
|
}
|
|
return newFrag;
|
|
}
|
|
|
|
function LMprocessNodeR(n, linebreaks) {
|
|
var mtch, str, arr, frg, i;
|
|
if (n.childNodes.length == 0) {
|
|
if ((n.nodeType!=8 || linebreaks) &&
|
|
n.parentNode.nodeName!="form" && n.parentNode.nodeName!="FORM" &&
|
|
n.parentNode.nodeName!="textarea" && n.parentNode.nodeName!="TEXTAREA" &&
|
|
n.parentNode.nodeName!="pre" && n.parentNode.nodeName!="PRE") {
|
|
str = n.nodeValue;
|
|
if (!(str == null)) {
|
|
str = str.replace(/\r\n\r\n/g,"\n\n");
|
|
str = str.replace(/\x20+/g," ");
|
|
str = str.replace(/\s*\r\n/g," ");
|
|
// DELIMITERS:
|
|
mtch = (str.indexOf("\$")==-1 ? false : true);
|
|
str = str.replace(/([^\\])\$/g,"$1 \$");
|
|
str = str.replace(/^\$/," \$"); // in case \$ at start of string
|
|
arr = str.split(" \$");
|
|
for (i=0; i<arr.length; i++)
|
|
arr[i]=arr[i].replace(/\\\$/g,"\$");
|
|
if (arr.length>1 || mtch) {
|
|
if (LMcheckForMathML) {
|
|
LMcheckForMathML = false;
|
|
var nd = LMisMathMLavailable();
|
|
LMnoMathML = nd != null;
|
|
if (LMnoMathML && LMnotifyIfNoMathML)
|
|
if (LMalertIfNoMathML)
|
|
alert("To view the ASCIIMathML notation use Internet Explorer 6 +\nMathPlayer (free from www.dessci.com)\n\
|
|
or Firefox/Mozilla/Netscape");
|
|
else LMbody.insertBefore(nd,LMbody.childNodes[0]);
|
|
}
|
|
if (!LMnoMathML) {
|
|
frg = LMstrarr2docFrag(arr,n.nodeType==8);
|
|
var len = frg.childNodes.length;
|
|
n.parentNode.replaceChild(frg,n);
|
|
return len-1;
|
|
} else return 0;
|
|
}
|
|
}
|
|
} else return 0;
|
|
} else if (n.nodeName!="math") {
|
|
for (i=0; i<n.childNodes.length; i++)
|
|
i += LMprocessNodeR(n.childNodes[i], linebreaks);
|
|
}
|
|
return 0;
|
|
}
|
|
|
|
var tcnt = 0, dcnt = 0; //theorem and definition counters
|
|
|
|
function simpleLaTeXformatting(st) {
|
|
st = st.replace(/\$\$(.*?)\$\$/g,"<p align=\"center\">$\\displaystyle{$1}$</p>");
|
|
st = st.replace(/\\begin{(theorem|lemma|proposition|corollary)}((.|\n)*?)\\end{\1}/g,function(r,s,t){tcnt++; return "<b>"+s.charAt(0).toUpperCase()+s.slice(1)+" "+tcnt+".</b> <i>"+t.replace(/^\s*<\/?\w+\/?>|\s*<\/?\w+\/?>$/g,"")+"</i>"});
|
|
st = st.replace(/\\begin{(definition|example|remark|problem|exercise|conjecture|solution)}((.|\n)*?)\\end{\1}/g,function(r,s,t){dcnt++; return "<b>"+s.charAt(0).toUpperCase()+s.slice(1)+" "+dcnt+".</b> "+t.replace(/^\s*<\/?\w+\/?>|\s*<\/?\w+\/?>$/g,"")});
|
|
st = st.replace(/\\begin{proof}((.|\n)*?)\\end{proof}/g,function(s,t){return "<i>Proof:</i> "+t.replace(/^\s*<\/?\w+\/?>|\s*<\/?\w+\/?>$/g,"")+" □"});
|
|
st = st.replace(/\\emph{(.*?)}/g,"<em>$1</em>");
|
|
st = st.replace(/\\textbf{(.*?)}/g,"<b>$1</b>");
|
|
st = st.replace(/\\cite{(.*?)}/g,"[$1]");
|
|
st = st.replace(/\\chapter{(.*?)}/g,"<h2>$1</h2>");
|
|
st = st.replace(/\\section{(.*?)}(\s*<\/?(br|p)\s?\/?>)?/g,"<h3>$1</h3>");
|
|
st = st.replace(/\\subsection{(.*?)}/g,"<h4>$1</h4>");
|
|
st = st.replace(/\\begin{itemize}(\s*<\/?(br|p)\s?\/?>)?/g,"<ul>");
|
|
st = st.replace(/\\item\s((.|\n)*?)(?=(\\item|\\end))/g,"<li>$1</li>");
|
|
st = st.replace(/\\end{itemize}(\s*<\/?(br|p)\s?\/?>)?/g,"</ul>");
|
|
st = st.replace(/\\begin{enumerate}(\s*<\/?(br|p)\s?\/?>)?/g,"<ol>");
|
|
st = st.replace(/\\end{enumerate}(\s*<\/?(br|p)\s?\/?>)?/g,"</ol>");
|
|
st = st.replace(/\\item\[(.*?)]{(.*?)}/g,"<dt>$1</dt><dd>$2</dd>");
|
|
st = st.replace(/\\begin{description}/g,"<dl>");
|
|
st = st.replace(/\\end{description}/g,"</dl>");
|
|
st = st.replace(/\\newline\b/g,"<br/>");
|
|
st = st.replace(/\\newpage\b/g,"<br style=\"page-break-after:always;\">");
|
|
st = st.replace(/\\par\b/g,"<p> </p>");
|
|
st = st.replace(/\\bigskip/g,"<p style=\"margin-bottom:0.5in\"> </p>");
|
|
st = st.replace(/\\medskip/g,"<p style=\"margin-bottom:0.3in\"> </p>");
|
|
st = st.replace(/\\smallskip/g,"<p style=\"margin-bottom:0.15in\"> </p>");
|
|
st = st.replace(/\\begin{center}(.*?)\\end{center}/g,"<p align=\"center\">$1</p>");
|
|
st = st.replace(/<embed\s+class\s?=\s?"ASCIIsvg"/g,"<embed class=\"ASCIIsvg\" src=\""+dsvglocation+"d.svg\" wmode=\"transparent\"");
|
|
st = st.replace(/(?:\\begin{a?graph}|agraph|\(:graph\s)((.|\n)*?)(?:\\end{a?graph}|enda?graph|:\))/g,function(s,t){return "<div><embed class=\"ASCIIsvg\" src=\""+dsvglocation+"d.svg\" wmode=\"transparent\" script=\'"+t.replace(/<\/?(br|p|pre)\s?\/?>/gi,"\n")+"\'/></div>"});
|
|
// st = st.replace(/\(:graph((.|\n)*?):\)/g,function(s,t){return "<div><embed class=\"ASCIIsvg\" src=\""+dsvglocation+"d.svg\" wmode=\"transparent\" script=\'"+t.replace(/<\/?(br|p|pre)\s?\/?>/gi,"\n")+"\'/></div>"});
|
|
st = st.replace(/insertASCIIMathCalculator/g,"<div class=\"ASCIIMathCalculator\"></div>");
|
|
return st
|
|
}
|
|
|
|
function LMprocessNode(n, linebreaks, spanclassLM) {
|
|
var frag,st;
|
|
if (spanclassLM!=null) {
|
|
frag = document.getElementsByTagName("span")
|
|
for (var i=0;i<frag.length;i++)
|
|
if (frag[i].className == "LM")
|
|
LMprocessNodeR(frag[i],linebreaks);
|
|
} else {
|
|
try {
|
|
st = n.innerHTML;
|
|
} catch(err) {}
|
|
var am = /amath|agraph/i.test(st);
|
|
if ((st==null || st.indexOf("\$ ")!=-1 || st.indexOf("\$<")!=-1 ||
|
|
st.indexOf("\\begin")!=-1 || am || st.slice(-1)=="$" ||
|
|
st.indexOf("\$\n")!=-1)&& !/edit-content|HTMLArea|wikiedit/.test(st)){
|
|
if (!avoidinnerHTML && translateLaTeXformatting)
|
|
st = simpleLaTeXformatting(st);
|
|
if (st!=null && am && !avoidinnerHTML) {
|
|
//alert(st)
|
|
st = st.replace(/<sup>(.*?)<\/sup>(\s|(\S))/gi,"^{$1} $3");
|
|
// st = st.replace(/<\/?font.*?>/gi,""); // do this only in amath...end
|
|
st = st.replace(/(Proof:)/g,"<i>$1</i>");
|
|
st = st.replace(/QED/g,"□");
|
|
st = st.replace(/(\\?end{?a?math}?)/ig,"<span></span>$1");
|
|
st = st.replace(/(\bamath|\\begin{a?math})/ig,"<span></span>$1");
|
|
st = st.replace(/([>\n])(Theorem|Lemma|Proposition|Corollary|Definition|Example|Remark|Problem|Exercise|Conjecture|Solution)(:|\W\W?(\w|\.)*?\W?:)/g,"$1<b>$2$3</b>");
|
|
}
|
|
st = st.replace(/%7E/g,"~");
|
|
if (!avoidinnerHTML) n.innerHTML = st;
|
|
LMprocessNodeR(n,linebreaks);
|
|
}
|
|
}
|
|
if (isIE) { //needed to match size and font of formula to surrounding text
|
|
frag = document.getElementsByTagName('math');
|
|
for (var i=0;i<frag.length;i++) frag[i].update()
|
|
}
|
|
}
|
|
|
|
var LMbody;
|
|
var LMnoMathML = false, LMtranslated = false;
|
|
|
|
function LMtranslate(spanclassLM) {
|
|
if (!LMtranslated) { // run this only once
|
|
LMtranslated = true;
|
|
LMinitSymbols();
|
|
LMbody = document.getElementsByTagName("body")[0];
|
|
var processN = document.getElementById(AMdocumentId);
|
|
//alert(processN)
|
|
LMprocessNode((processN!=null?processN:LMbody), false, spanclassLM);
|
|
}
|
|
}
|
|
|
|
if (isIE) { // avoid adding MathPlayer info explicitly to each webpage
|
|
document.write("<object id=\"mathplayer\"\
|
|
classid=\"clsid:32F66A20-7614-11D4-BD11-00104BD3F987\"></object>");
|
|
document.write("<?import namespace=\"m\" implementation=\"#mathplayer\"?>");
|
|
}
|
|
|
|
/* ASCIIsvg.js
|
|
==============
|
|
JavaScript routines to dynamically generate Scalable Vector Graphics
|
|
using a mathematical xy-coordinate system (y increases upwards) and
|
|
very intuitive JavaScript commands (no programming experience required).
|
|
ASCIIsvg.js is good for learning math and illustrating online math texts.
|
|
Works with Internet Explorer+Adobe SVGviewer and SVG enabled Mozilla/Firefox.
|
|
|
|
Ver 1.2.9 July 31, 2007 (c) Peter Jipsen http://www.chapman.edu/~jipsen
|
|
Latest version at http://math.chapman.edu/~jipsen/math/pub/ASCIIsvg.js
|
|
If you use it on a webpage, please send the URL to jipsen@chapman.edu
|
|
|
|
This program is free software; you can redistribute it and/or modify
|
|
it under the terms of the GNU Lesser General Public License as published by
|
|
the Free Software Foundation; either version 2.1 of the License, or (at
|
|
your option) any later version.
|
|
|
|
This program is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser
|
|
General Public License (at http://www.gnu.org/license/lgpl.html)
|
|
for more details.*/
|
|
|
|
// you can change these
|
|
var checkIfSVGavailable = true;
|
|
var notifyIfNoSVG = true;
|
|
var alertIfNoSVG = false;
|
|
|
|
// global defaults used if not specified by graph (you can change these)
|
|
var defaultwidth = 300; defaultheight = 200; // in pixels
|
|
var defaultxmin = -5.5; defaultxmax = 5.5; // in usercoords
|
|
var defaultborder = 0; border = defaultborder; // in pixel
|
|
var defaultstrokewidth = "1"; // default line width in pixel
|
|
var defaultstroke = "blue"; // default line color
|
|
var defaultstrokeopacity = 1; // transparent = 0, solid =1
|
|
var defaultstrokedasharray = null; // "10,10" gives 10px long dashes
|
|
var defaultfill = "none"; // default fill color
|
|
var defaultfillopacity = 1; // transparent = 0, solid =1
|
|
var defaultfontstyle = "normal"; // default text shape normal|italic|inherit
|
|
var defaultfontfamily = "times"; // default font times|ariel|helvetica|...
|
|
var defaultfontsize = "16"; // default size (scaled automatically)
|
|
var defaultfontweight = "normal";// normal|bold|bolder|lighter|100|...|900
|
|
var defaultfontstroke = "none"; // default font outline color
|
|
var defaultfontfill = "none"; // default font color
|
|
var defaultmarker = "none"; // "dot" | "arrow" | "+" | "-" | "|"
|
|
var defaultendpoints = ""; // "c-d" where c is <|o|* and d is >|o|*
|
|
|
|
// global values used for all pictures (you can change these)
|
|
var showcoordinates = true;
|
|
var markerstrokewidth = "1";
|
|
var markerstroke = "black";
|
|
var markerfill = "yellow";
|
|
var markersize = 4;
|
|
var arrowfill = stroke;
|
|
var dotradius = 4;
|
|
var ticklength = 4;
|
|
var axesstroke = "black";
|
|
var gridstroke = "grey";
|
|
var backgroundstyle = "fill-opacity:0; fill:white";
|
|
var singlelettersitalic = true;
|
|
|
|
// internal variables (probably no need to change these)
|
|
var picturepos = null; // position of picture relative to top of HTML page
|
|
var xunitlength; // in pixels, used to convert to user coordinates
|
|
var yunitlength; // in pixels
|
|
var origin = [0,0]; // in pixels (default is bottom left corner)
|
|
var above = "above"; // shorthands (to avoid typing quotes)
|
|
var below = "below";
|
|
var left = "left";
|
|
var right = "right";
|
|
var aboveleft = "aboveleft";
|
|
var aboveright = "aboveright";
|
|
var belowleft = "belowleft";
|
|
var belowright = "belowright";
|
|
var xmin, xmax, ymin, ymax, xscl, yscl,
|
|
xgrid, ygrid, xtick, ytick, initialized;
|
|
var strokewidth, strokedasharray, stroke, fill, strokeopacity, fillopacity;
|
|
var fontstyle, fontfamily, fontsize, fontweight, fontstroke, fontfill;
|
|
var marker, endpoints, dynamic = {};
|
|
var picture, svgpicture, doc, width, height, a, b, c, d, i, n, p, t, x, y;
|
|
var isIE = document.createElementNS==null;
|
|
|
|
var cpi = "\u03C0", ctheta = "\u03B8"; // character for pi, theta
|
|
var log = function(x) { return ln(x)/ln(10) };
|
|
var pi = Math.PI, e = Math.E, ln = Math.log, sqrt = Math.sqrt;
|
|
var floor = Math.floor, ceil = Math.ceil, abs = Math.abs;
|
|
var sin = Math.sin, cos = Math.cos, tan = Math.tan;
|
|
var arcsin = Math.asin, arccos = Math.acos, arctan = Math.atan;
|
|
var sec = function(x) { return 1/Math.cos(x) };
|
|
var csc = function(x) { return 1/Math.sin(x) };
|
|
var cot = function(x) { return 1/Math.tan(x) };
|
|
var arcsec = function(x) { return arccos(1/x) };
|
|
var arccsc = function(x) { return arcsin(1/x) };
|
|
var arccot = function(x) { return arctan(1/x) };
|
|
var sinh = function(x) { return (Math.exp(x)-Math.exp(-x))/2 };
|
|
var cosh = function(x) { return (Math.exp(x)+Math.exp(-x))/2 };
|
|
var tanh =
|
|
function(x) { return (Math.exp(x)-Math.exp(-x))/(Math.exp(x)+Math.exp(-x)) };
|
|
var sech = function(x) { return 1/cosh(x) };
|
|
var csch = function(x) { return 1/sinh(x) };
|
|
var coth = function(x) { return 1/tanh(x) };
|
|
var arcsinh = function(x) { return ln(x+Math.sqrt(x*x+1)) };
|
|
var arccosh = function(x) { return ln(x+Math.sqrt(x*x-1)) };
|
|
var arctanh = function(x) { return ln((1+x)/(1-x))/2 };
|
|
var sech = function(x) { return 1/cosh(x) };
|
|
var csch = function(x) { return 1/sinh(x) };
|
|
var coth = function(x) { return 1/tanh(x) };
|
|
var arcsech = function(x) { return arccosh(1/x) };
|
|
var arccsch = function(x) { return arcsinh(1/x) };
|
|
var arccoth = function(x) { return arctanh(1/x) };
|
|
var sign = function(x) { return (x==0?0:(x<0?-1:1)) };
|
|
|
|
function factorial(x,n) { // Factorial function
|
|
if (n==null) n=1;
|
|
if (Math.abs(x-Math.round(x*1000000)/1000000)<1e-15)
|
|
x = Math.round(x*1000000)/1000000;
|
|
if (x-Math.floor(x)!=0) return NaN;
|
|
for (var i=x-n; i>0; i-=n) x*=i;
|
|
return (x<0?NaN:(x==0?1:x));
|
|
}
|
|
|
|
function C(x,k) { // Binomial coefficient function
|
|
var res=1;
|
|
for (var i=0; i<k; i++) res*=(x-i)/(k-i);
|
|
return res;
|
|
}
|
|
|
|
function chop(x,n) { // Truncate decimal number to n places after decimal point
|
|
if (n==null) n=0;
|
|
return Math.floor(x*Math.pow(10,n))/Math.pow(10,n);
|
|
}
|
|
|
|
function ran(a,b,n) { // Generate random number in [a,b] with n digits after .
|
|
if (n==null) n=0;
|
|
return chop((b+Math.pow(10,-n)-a)*Math.random()+a,n);
|
|
}
|
|
|
|
function myCreateElementXHTML(t) {
|
|
if (isIE) return document.createElement(t);
|
|
else return document.createElementNS("http://www.w3.org/1999/xhtml",t);
|
|
}
|
|
|
|
function myCreateElementSVG(t) {
|
|
if (isIE) return doc.createElement(t);
|
|
else return doc.createElementNS("http://www.w3.org/2000/svg",t);
|
|
}
|
|
|
|
function getElementsByClass(container, tagName, clsName){
|
|
var list = new Array(0);
|
|
var collection = container.getElementsByTagName(tagName);
|
|
for(var i = 0; i < collection.length; i++)
|
|
if(collection[i].className.slice(0,clsName.length)==clsName)
|
|
list[list.length] = collection[i];
|
|
return list;
|
|
}
|
|
|
|
function findPos(obj) { // top-left corner of obj on HTML page in pixel
|
|
var curleft = curtop = 0;
|
|
if (obj.offsetParent) {
|
|
curleft = obj.offsetLeft
|
|
curtop = obj.offsetTop
|
|
while (obj = obj.offsetParent) {
|
|
curleft += obj.offsetLeft
|
|
curtop += obj.offsetTop
|
|
}
|
|
}
|
|
return [curleft,curtop];
|
|
}
|
|
|
|
function isSVGavailable() {
|
|
var nd = myCreateElementXHTML("center");
|
|
nd.appendChild(document.createTextNode("To view the "));
|
|
var an = myCreateElementXHTML("a");
|
|
an.appendChild(document.createTextNode("ASCIIsvg"));
|
|
an.setAttribute("href","http://www.chapman.edu/~jipsen/asciisvg.html");
|
|
nd.appendChild(an);
|
|
nd.appendChild(document.createTextNode(" images use Internet Explorer 6+"));
|
|
an = myCreateElementXHTML("a");
|
|
an.appendChild(document.createTextNode("Adobe SVGviewer 3.02"));
|
|
an.setAttribute("href","http://www.adobe.com/svg");
|
|
nd.appendChild(an);
|
|
nd.appendChild(document.createTextNode(" or "));
|
|
an = myCreateElementXHTML("a");
|
|
an.appendChild(document.createTextNode("SVG enabled Mozilla/Firefox"));
|
|
an.setAttribute("href",
|
|
"http://www.chapman.edu/~jipsen/svg/svgenabledmozillafirefox.html");
|
|
nd.appendChild(an);
|
|
if (navigator.appName.slice(0,8)=="Netscape")
|
|
if (window['SVGElement']) return null;
|
|
else return nd;
|
|
else if (navigator.appName.slice(0,9)=="Microsoft")
|
|
try {
|
|
var oSVG=eval("new ActiveXObject('Adobe.SVGCtl.3');");
|
|
return null;
|
|
} catch (e) {
|
|
return nd;
|
|
}
|
|
else return nd;
|
|
}
|
|
|
|
function setText(st,id) { // add text to an existing node with given id
|
|
var node = document.getElementById(id);
|
|
if (node!=null)
|
|
if (node.childNodes.length!=0) node.childNodes[0].nodeValue = st;
|
|
else node.appendChild(document.createTextNode(st));
|
|
}
|
|
|
|
function getX(evt) { // return mouse x-coord in user coordinate system
|
|
var svgroot = evt.target.parentNode;
|
|
return (evt.clientX+(isIE?0:window.pageXOffset)-svgroot.getAttribute("left")-svgroot.getAttribute("ox"))/(svgroot.getAttribute("xunitlength")-0);
|
|
}
|
|
|
|
function getY(evt) { // return mouse y-coord in user coordinate system
|
|
var svgroot = evt.target.parentNode;
|
|
return (svgroot.getAttribute("height")-svgroot.getAttribute("oy")-(evt.clientY+(isIE?0:window.pageYOffset)-svgroot.getAttribute("top")))/(svgroot.getAttribute("yunitlength")-0);
|
|
}
|
|
|
|
function translateandeval(src) { //modify user input to JavaScript syntax
|
|
var errstr;
|
|
// replace plot(f(x),...) with plot("f(x)",...)
|
|
src = src.replace(/plot\(\x20*([^\"f\[][^\n\r;]+?)\,/g,"plot\(\"$1\",");
|
|
src = src.replace(/plot\(\x20*([^\"f\[][^\n\r;]+)\)/g,"plot(\"$1\")");
|
|
|
|
// replace (expr,expr) by [expr,expr] where expr has no (,) in it
|
|
src = src.replace(/([=(,]\x20*)\(([-a-z0-9./+*]+?),([-a-z0-9./+*]+?)\)/g,"$1[$2,$3]");
|
|
|
|
// insert * between digit and letter e.g. 2x --> 2*x
|
|
src = src.replace(/([0-9])([a-zA-Z])/g,"$1*$2");
|
|
src = src.replace(/\)([\(0-9a-zA-Z])/g,"\)*$1");
|
|
|
|
try {
|
|
with (Math) eval(src); // here the svgpicture object is created
|
|
} catch(err) {
|
|
if (err!="wait") {
|
|
if (typeof err=="object")
|
|
errstr = err.name+" "+err.message+" "+err.number+" "+err.description;
|
|
else errstr = err;
|
|
alert(errstr+"\n"+src)
|
|
}
|
|
}
|
|
}
|
|
|
|
function drawPictures() { // main routine; called after webpage has loaded
|
|
var src, id, dsvg, nd, node, ht, index, cols, arr, i, node2;
|
|
var pictures = document.getElementsByTagName("textarea");
|
|
for (index = 0; index<pictures.length; index++)
|
|
if (pictures[index].className=="ASCIIsvg"){
|
|
pictures[index].style.display="none"; // hide the textarea
|
|
}
|
|
var ASbody = document.getElementsByTagName("body")[0];
|
|
pictures = getElementsByClass(ASbody,"embed","ASCIIsvg");
|
|
var len = pictures.length;
|
|
if (checkIfSVGavailable) {
|
|
nd = isSVGavailable();
|
|
if (nd != null && notifyIfNoSVG && len>0)
|
|
if (alertIfNoSVG)
|
|
alert("To view the SVG pictures in Internet Explorer\n\
|
|
download the free Adobe SVGviewer from www.adobe.com/svg or\n\
|
|
use Firefox 2.0 or later");
|
|
else {
|
|
ASbody.insertBefore(nd,ASbody.childNodes[0]);
|
|
}
|
|
}
|
|
if (nd == null) {
|
|
for (index = 0; index < len; index++) {
|
|
width = null; height = null;
|
|
xmin = null; xmax = null; ymin = null; ymax = null;
|
|
xscl = null; xgrid = null; yscl = null; ygrid = null;
|
|
initialized = false;
|
|
picture = pictures[index]; // current picture object
|
|
src = picture.getAttribute("script"); // get the ASCIIsvg code
|
|
if (src==null) src = "";
|
|
// insert "axes()" if not present ******** experimental
|
|
if (!/axes\b|initPicture/.test(src)) {
|
|
var i = 0
|
|
while (/((yscl|ymax|ymin|xscl|xmax|xmin|\bwidth|\bheight)\s*=\s*-?\d*(\d\.|\.\d|\d)\d*\s*;?)/.test(src.slice(i))) i++;
|
|
src = (i==0?"axes(); "+src: src.slice(0,i)+src.slice(i).replace(/((scl|max|min|idth|eight)\s*=\s*-?\d*(\d\.|\.\d|\d)\d*\s*;?)/,"$1\naxes();"));
|
|
}
|
|
ht = picture.getAttribute("height");
|
|
if (isIE) {
|
|
picture.setAttribute("wmode","transparent");
|
|
//alert("*"+picture.getAttribute("src")+dsvglocation);
|
|
//adding d.svg dynamically greates problems in IE...
|
|
if (picture.getAttribute("src")=="") picture.setAttribute("src",dsvglocation+"d.svg");
|
|
}
|
|
if (document.getElementById("picture"+(index+1)+"mml")==null) {
|
|
picture.parentNode.style.position = "relative";
|
|
node = myCreateElementXHTML("div");
|
|
node.style.position = "absolute";
|
|
node.style.top = "0px";
|
|
node.style.left = "0px";
|
|
node.setAttribute("id","picture"+(index+1)+"mml");
|
|
picture.parentNode.insertBefore(node,picture.nextSibling);
|
|
}
|
|
if (ht==null) ht ="";
|
|
// if (ht!="") defaultborder = 25;
|
|
if (ht=="" || src=="")
|
|
if (document.getElementById("picture"+(index+1)+"input")==null) {
|
|
node = myCreateElementXHTML("textarea");
|
|
arr = src.split("\n");
|
|
cols = 0;
|
|
for (i=0;i<arr.length;i++) cols = Math.max(cols,arr[i].length);
|
|
node.setAttribute("rows",Math.min(10,arr.length)+1);
|
|
node.setAttribute("cols",Math.max(Math.min(60,cols),20)+5);
|
|
// node.setAttribute("style","display:block");
|
|
if (isIE) src = src.replace(/([^\r])\n/g,"$1\r");
|
|
node.appendChild(document.createTextNode(src));
|
|
if (src.indexOf("showcode()")==-1) node.style.display = "none";
|
|
node.setAttribute("id","picture"+(index+1)+"input");
|
|
picture.parentNode.insertBefore(node,picture.nextSibling);
|
|
picture.parentNode.insertBefore(myCreateElementXHTML("br"),node);
|
|
node2 = myCreateElementXHTML("button");
|
|
node2.setAttribute("id","picture"+(index+1)+"button");
|
|
if (isIE) node2.onclick = function() {updatePicture(this)};
|
|
else node2.setAttribute("onclick","updatePicture(this)");
|
|
node2.appendChild(document.createTextNode("Update"));
|
|
if (src.indexOf("showcode()")==-1) node2.style.display = "none";
|
|
picture.parentNode.insertBefore(node2,node);
|
|
picture.parentNode.insertBefore(myCreateElementXHTML("br"),node);
|
|
} else src = document.getElementById("picture"+(index+1)+"input").value;
|
|
id = picture.getAttribute("id");
|
|
dsvg = picture.getAttribute("src");
|
|
if (id == null || id == "") {
|
|
id = "picture"+(index+1);
|
|
picture.setAttribute("id",id);
|
|
}
|
|
translateandeval(src)
|
|
}
|
|
}
|
|
}
|
|
|
|
function setdefaults() { //called before each graph is evaluated
|
|
strokewidth = defaultstrokewidth;
|
|
stroke = defaultstroke;
|
|
strokeopacity = defaultstrokeopacity;
|
|
strokedasharray = defaultstrokedasharray;
|
|
fill = defaultfill;
|
|
fillopacity = defaultfillopacity;
|
|
fontstyle = defaultfontstyle;
|
|
fontfamily = defaultfontfamily;
|
|
fontsize = defaultfontsize;
|
|
fontweight = defaultfontweight;
|
|
fontstroke = defaultfontstroke;
|
|
fontfill = defaultfontfill;
|
|
marker = defaultmarker;
|
|
endpoints = defaultendpoints;
|
|
}
|
|
|
|
function switchTo(id) { // used by dynamic code to select appropriate graph
|
|
picture = document.getElementById(id);
|
|
width = picture.getAttribute("width")-0;
|
|
height = picture.getAttribute("height")-0;
|
|
setdefaults();
|
|
if ((picture.nodeName == "EMBED" || picture.nodeName == "embed") && isIE) {
|
|
svgpicture = picture.getSVGDocument().getElementById("root");
|
|
doc = picture.getSVGDocument();
|
|
} else {
|
|
svgpicture = picture;
|
|
doc = document;
|
|
}
|
|
xunitlength = svgpicture.getAttribute("xunitlength")-0;
|
|
yunitlength = svgpicture.getAttribute("yunitlength")-0;
|
|
xmin = svgpicture.getAttribute("xmin")-0;
|
|
xmax = svgpicture.getAttribute("xmax")-0;
|
|
ymin = svgpicture.getAttribute("ymin")-0;
|
|
ymax = svgpicture.getAttribute("ymax")-0;
|
|
origin = [svgpicture.getAttribute("ox")-0,svgpicture.getAttribute("oy")-0];
|
|
}
|
|
|
|
function updatePicture(obj) {
|
|
var node, src, id;
|
|
if (typeof obj=="object") id = obj.id.slice(0,-6);
|
|
else id = (typeof obj=="string"?obj:"picture"+(obj+1));
|
|
src = document.getElementById(id+"input").value;
|
|
xmin = null; xmax = null; ymin = null; ymax = null;
|
|
xscl = null; xgrid = null; yscl = null; ygrid = null;
|
|
initialized = false;
|
|
picture = document.getElementById(id);
|
|
// switchTo(id);
|
|
translateandeval(src)
|
|
}
|
|
|
|
function changepicturesize(evt,factor) {
|
|
var obj = evt.target;
|
|
var name = obj.parentNode.getAttribute("name");
|
|
var pic = document.getElementById(name);
|
|
var src = document.getElementById(name+"input").value;
|
|
src = src.replace(/width\s*=\s*\d+/,"width="+(factor*(pic.getAttribute("width")-0)));
|
|
src = src.replace(/height\s*=\s*\d+/,"height="+(factor*(pic.getAttribute("height")-0)));
|
|
document.getElementById(name+"input").value = src;
|
|
//alert(getKey(evt.keycode))
|
|
updatePicture(name);
|
|
}
|
|
|
|
var sinceFirstClick = 0; // ondblclick simulation from
|
|
var dblClkTimer; // http://www.enja.org/david/?cat=13 Thanks!
|
|
function timer() {
|
|
if(sinceFirstClick<60) {
|
|
sinceFirstClick++;
|
|
setTimeout("timer()",10);
|
|
} else {
|
|
clearTimeout(dblClkTimer);
|
|
dblClkTimer = "";
|
|
}
|
|
}
|
|
function mClick(evt) {
|
|
if(sinceFirstClick!=0) {
|
|
if(sinceFirstClick <= 40) {
|
|
if (evt.shiftKey) changepicturesize(evt,2);
|
|
else if (evt.altKey) changepicturesize(evt,.5);
|
|
else showHideCode(evt); // do this on dblclick
|
|
clearTimeout(dblClkTimer);
|
|
dblClkTimer = "";
|
|
} else {
|
|
clearTimeout(dblClkTimer);
|
|
sinceFirstClick = 0;
|
|
dblClkTimer = setTimeout("timer()",10);
|
|
}
|
|
} else {
|
|
sinceFirstClick = 0;
|
|
dblClkTimer = setTimeout("timer()",10);
|
|
}
|
|
}
|
|
|
|
function showHideCode(evt) { // called by onclick event
|
|
// if (evt.getDetail()==2) {//getDetail unfortunately not in Firefox
|
|
var obj=evt.target;
|
|
var name = obj.parentNode.getAttribute("name");
|
|
var node = document.getElementById(name+"input");
|
|
node.style.display = (node.style.display == "none"?"":"none");
|
|
var node = document.getElementById(name+"button");
|
|
node.style.display = (node.style.display == "none"?"":"none");
|
|
// }
|
|
}
|
|
|
|
function showcode() {} // do nothing
|
|
|
|
function setBorder(x) { border = x } //deprecate
|
|
|
|
function initPicture(x_min,x_max,y_min,y_max) { // set up the graph
|
|
// usually called by axes() or noaxes(), but can be used directly
|
|
if (!initialized) {
|
|
setdefaults();
|
|
initialized = true;
|
|
if (x_min!=null) xmin = x_min;
|
|
if (x_max!=null) xmax = x_max;
|
|
if (y_min!=null) ymin = y_min;
|
|
if (y_max!=null) ymax = y_max;
|
|
if (xmin==null) xmin = defaultxmin;
|
|
if (xmax==null) xmax = defaultxmax;
|
|
if (typeof xmin != "number" || typeof xmax != "number" || xmin >= xmax)
|
|
alert("Picture requires at least two numbers: xmin < xmax");
|
|
else if (y_max != null && (typeof y_min != "number" ||
|
|
typeof y_max != "number" || y_min >= y_max))
|
|
alert("initPicture(xmin,xmax,ymin,ymax) requires numbers ymin < ymax");
|
|
else {
|
|
if (width==null) {
|
|
width = picture.getAttribute("width");
|
|
if (width==null || width=="") width=defaultwidth;
|
|
}
|
|
picture.setAttribute("width",width);
|
|
if (height==null) {
|
|
height = picture.getAttribute("height");
|
|
if (height==null || height=="") height=defaultheight;
|
|
}
|
|
picture.setAttribute("height",height);
|
|
xunitlength = (width-2*border)/(xmax-xmin);
|
|
yunitlength = xunitlength;
|
|
//alert(xmin+" "+xmax+" "+ymin+" "+ymax)
|
|
if (ymin==null) {
|
|
origin = [-xmin*xunitlength+border,height/2];
|
|
ymin = -(height-2*border)/(2*yunitlength);
|
|
ymax = -ymin;
|
|
} else {
|
|
if (ymax!=null) yunitlength = (height-2*border)/(ymax-ymin);
|
|
else ymax = (height-2*border)/yunitlength + ymin;
|
|
origin = [-xmin*xunitlength+border,-ymin*yunitlength+border];
|
|
}
|
|
if (isIE) {
|
|
if (picture.FULLSCREEN==undefined) {
|
|
setTimeout('drawPictures()',50);
|
|
throw "wait";
|
|
}
|
|
svgpicture = picture.getSVGDocument().getElementById("root");
|
|
if (svgpicture==null) {
|
|
setTimeout('drawPictures()',50);
|
|
throw "wait";
|
|
}
|
|
svgpicture = picture.getSVGDocument().getElementById("root");
|
|
while (svgpicture.childNodes.length>0)
|
|
svgpicture.removeChild(svgpicture.lastChild);
|
|
svgpicture.setAttribute("width",width);
|
|
svgpicture.setAttribute("height",height);
|
|
svgpicture.setAttribute("name",picture.getAttribute("id"));
|
|
doc = picture.getSVGDocument();
|
|
var nd = document.getElementById(picture.getAttribute("id")+"mml");
|
|
if (nd!=null) // clear out MathML layer
|
|
while (nd.childNodes.length>0) nd.removeChild(nd.lastChild);
|
|
} else {
|
|
var qnode = document.createElementNS("http://www.w3.org/2000/svg","svg");
|
|
qnode.setAttribute("id",picture.getAttribute("id"));
|
|
qnode.setAttribute("name",picture.getAttribute("id"));
|
|
qnode.setAttribute("style","display:inline");
|
|
qnode.setAttribute("width",picture.getAttribute("width"));
|
|
qnode.setAttribute("height",picture.getAttribute("height"));
|
|
picturepos = findPos(picture);
|
|
qnode.setAttribute("left",picturepos[0]);
|
|
qnode.setAttribute("top",picturepos[1]);
|
|
// qnode.setAttribute("xmlns:xlink","http://www.w3.org/1999/xlink");
|
|
if (picture.parentNode!=null) {
|
|
picture.parentNode.replaceChild(qnode,picture);
|
|
} else {
|
|
svgpicture.parentNode.replaceChild(qnode,svgpicture);
|
|
}
|
|
svgpicture = qnode;
|
|
doc = document;
|
|
}
|
|
svgpicture.setAttribute("xunitlength",xunitlength);
|
|
svgpicture.setAttribute("yunitlength",yunitlength);
|
|
svgpicture.setAttribute("xmin",xmin);
|
|
svgpicture.setAttribute("xmax",xmax);
|
|
svgpicture.setAttribute("ymin",ymin);
|
|
svgpicture.setAttribute("ymax",ymax);
|
|
svgpicture.setAttribute("ox",origin[0]);
|
|
svgpicture.setAttribute("oy",origin[1]);
|
|
var node = myCreateElementSVG("rect");
|
|
node.setAttribute("x","0");
|
|
node.setAttribute("y","0");
|
|
node.setAttribute("width",width);
|
|
node.setAttribute("height",height);
|
|
node.setAttribute("style",backgroundstyle);
|
|
svgpicture.appendChild(node);
|
|
svgpicture.setAttribute("onmousemove","displayCoord(evt)");
|
|
svgpicture.setAttribute("onmouseout","removeCoord(evt)");
|
|
svgpicture.setAttribute("onclick","mClick(evt)");
|
|
node = myCreateElementSVG("text");
|
|
node.appendChild(doc.createTextNode(" "));
|
|
svgpicture.appendChild(node);
|
|
border = defaultborder;
|
|
}
|
|
}
|
|
}
|
|
|
|
//////////////////////////user graphics commands start/////////////////////////
|
|
|
|
function line(p,q,id,endpts) { // segment connecting points p,q (coordinates in units)
|
|
var node;
|
|
if (id!=null) node = doc.getElementById(id);
|
|
if (node==null) {
|
|
node = myCreateElementSVG("path");
|
|
node.setAttribute("id", id);
|
|
svgpicture.appendChild(node);
|
|
}
|
|
node.setAttribute("d","M"+(p[0]*xunitlength+origin[0])+","+
|
|
(height-p[1]*yunitlength-origin[1])+" "+
|
|
(q[0]*xunitlength+origin[0])+","+(height-q[1]*yunitlength-origin[1]));
|
|
node.setAttribute("stroke-width", strokewidth);
|
|
if (strokedasharray!=null)
|
|
node.setAttribute("stroke-dasharray", strokedasharray);
|
|
node.setAttribute("stroke", stroke);
|
|
node.setAttribute("fill", fill);
|
|
node.setAttribute("stroke-opacity", strokeopacity);
|
|
node.setAttribute("fill-opacity", fillopacity);
|
|
if (marker=="dot" || marker=="arrowdot") {
|
|
ASdot(p,markersize,markerstroke,markerfill);
|
|
if (marker=="arrowdot") arrowhead(p,q);
|
|
ASdot(q,markersize,markerstroke,markerfill);
|
|
} else if (marker=="arrow") arrowhead(p,q);
|
|
if (endpts==null && endpoints!="") endpts = endpoints;
|
|
if (endpts!=null) {
|
|
if (endpts.indexOf("<-") != -1) arrowhead(q,p);
|
|
if (endpts.indexOf("o-") != -1) dot(p, "open");
|
|
if (endpts.indexOf("*-") != -1) dot(p, "closed");
|
|
if (endpts.indexOf("->") != -1) arrowhead(p,q);
|
|
if (endpts.indexOf("-o") != -1) dot(q, "open");
|
|
if (endpts.indexOf("-*") != -1) dot(q, "closed");
|
|
}
|
|
}
|
|
|
|
function path(plist,id,c,endpts) {
|
|
if (c==null) c="";
|
|
var node, st, i;
|
|
if (id!=null) node = doc.getElementById(id);
|
|
if (node==null) {
|
|
node = myCreateElementSVG("path");
|
|
node.setAttribute("id", id);
|
|
svgpicture.appendChild(node);
|
|
}
|
|
if (typeof plist == "string") st = plist;
|
|
else {
|
|
st = "M";
|
|
st += (plist[0][0]*xunitlength+origin[0])+","+
|
|
(height-plist[0][1]*yunitlength-origin[1])+" "+c;
|
|
for (i=1; i<plist.length; i++)
|
|
st += (plist[i][0]*xunitlength+origin[0])+","+
|
|
(height-plist[i][1]*yunitlength-origin[1])+" ";
|
|
}
|
|
node.setAttribute("d", st);
|
|
node.setAttribute("stroke-width", strokewidth);
|
|
if (strokedasharray!=null)
|
|
node.setAttribute("stroke-dasharray", strokedasharray);
|
|
node.setAttribute("stroke", stroke);
|
|
node.setAttribute("fill", fill);
|
|
node.setAttribute("stroke-opacity", strokeopacity);
|
|
node.setAttribute("fill-opacity", fillopacity);
|
|
if (marker=="dot" || marker=="arrowdot")
|
|
for (i=0; i<plist.length; i++)
|
|
if (c!="C" && c!="T" || i!=1 && i!=2)
|
|
ASdot(plist[i],markersize,markerstroke,markerfill);
|
|
if (endpts==null && endpoints!="") endpts = endpoints;
|
|
if (endpts!=null) {
|
|
if (endpts.indexOf("<-") != -1) arrowhead(plist[1],plist[0]);
|
|
if (endpts.indexOf("o-") != -1) dot(plist[0], "open");
|
|
if (endpts.indexOf("*-") != -1) dot(plist[0], "closed");
|
|
if (endpts.indexOf("->") != -1) arrowhead(plist[plist.length-2],plist[plist.length-1]);
|
|
if (endpts.indexOf("-o") != -1) dot(plist[plist.length-1], "open");
|
|
if (endpts.indexOf("-*") != -1) dot(plist[plist.length-1], "closed");
|
|
}
|
|
}
|
|
|
|
function curve(plist,id,endpts) {
|
|
path(plist,id,"T",endpts);
|
|
}
|
|
|
|
function vector(p,q,id) {
|
|
line(p,q,id,"","->");
|
|
}
|
|
|
|
function circle(center,radius,id) { // coordinates in units
|
|
var node;
|
|
if (id!=null) node = doc.getElementById(id);
|
|
if (node==null) {
|
|
node = myCreateElementSVG("circle");
|
|
node.setAttribute("id", id);
|
|
svgpicture.appendChild(node);
|
|
}
|
|
node.setAttribute("cx",center[0]*xunitlength+origin[0]);
|
|
node.setAttribute("cy",height-center[1]*yunitlength-origin[1]);
|
|
node.setAttribute("r",radius*xunitlength);
|
|
node.setAttribute("stroke-width", strokewidth);
|
|
node.setAttribute("stroke", stroke);
|
|
node.setAttribute("fill", fill);
|
|
node.setAttribute("stroke-opacity", strokeopacity);
|
|
node.setAttribute("fill-opacity", fillopacity);
|
|
}
|
|
|
|
function loop(p,d,id) {
|
|
// d is a direction vector e.g. [1,0] means loop starts in that direction
|
|
if (d==null) d=[1,0];
|
|
path([p,[p[0]+d[0],p[1]+d[1]],[p[0]-d[1],p[1]+d[0]],p],id,"C");
|
|
if (marker=="arrow" || marker=="arrowdot")
|
|
arrowhead([p[0]+Math.cos(1.4)*d[0]-Math.sin(1.4)*d[1],
|
|
p[1]+Math.sin(1.4)*d[0]+Math.cos(1.4)*d[1]],p);
|
|
}
|
|
|
|
function arc(start,end,radius,id) { // coordinates in units
|
|
var node, v;
|
|
//alert([fill, stroke, origin, xunitlength, yunitlength, height])
|
|
if (id!=null) node = doc.getElementById(id);
|
|
if (radius==null) {
|
|
v=[end[0]-start[0],end[1]-start[1]];
|
|
radius = Math.sqrt(v[0]*v[0]+v[1]*v[1]);
|
|
}
|
|
if (node==null) {
|
|
node = myCreateElementSVG("path");
|
|
node.setAttribute("id", id);
|
|
svgpicture.appendChild(node);
|
|
}
|
|
node.setAttribute("d","M"+(start[0]*xunitlength+origin[0])+","+
|
|
(height-start[1]*yunitlength-origin[1])+" A"+radius*xunitlength+","+
|
|
radius*yunitlength+" 0 0,0 "+(end[0]*xunitlength+origin[0])+","+
|
|
(height-end[1]*yunitlength-origin[1]));
|
|
node.setAttribute("stroke-width", strokewidth);
|
|
node.setAttribute("stroke", stroke);
|
|
node.setAttribute("fill", fill);
|
|
node.setAttribute("stroke-opacity", strokeopacity);
|
|
node.setAttribute("fill-opacity", fillopacity);
|
|
if (marker=="arrow" || marker=="arrowdot") {
|
|
u = [(end[1]-start[1])/4,(start[0]-end[0])/4];
|
|
v = [(end[0]-start[0])/2,(end[1]-start[1])/2];
|
|
//alert([u,v])
|
|
v = [start[0]+v[0]+u[0],start[1]+v[1]+u[1]];
|
|
} else v=[start[0],start[1]];
|
|
if (marker=="dot" || marker=="arrowdot") {
|
|
ASdot(start,markersize,markerstroke,markerfill);
|
|
if (marker=="arrowdot") arrowhead(v,end);
|
|
ASdot(end,markersize,markerstroke,markerfill);
|
|
} else if (marker=="arrow") arrowhead(v,end);
|
|
}
|
|
|
|
function sector(center,start,end,id) { // center,start,end should be isoceles
|
|
var rx = start[0]-center[0], ry = start[1]-center[1];
|
|
arc(start,end,Math.sqrt(rx*rx+ry*ry),id+"arc");
|
|
path([end,center,start],id+"path");
|
|
}
|
|
|
|
function ellipse(center,rx,ry,id) { // coordinates in units
|
|
var node;
|
|
if (id!=null) node = doc.getElementById(id);
|
|
if (node==null) {
|
|
node = myCreateElementSVG("ellipse");
|
|
node.setAttribute("id", id);
|
|
svgpicture.appendChild(node);
|
|
}
|
|
node.setAttribute("cx",center[0]*xunitlength+origin[0]);
|
|
node.setAttribute("cy",height-center[1]*yunitlength-origin[1]);
|
|
node.setAttribute("rx",rx*xunitlength);
|
|
node.setAttribute("ry",ry*yunitlength);
|
|
node.setAttribute("stroke-width", strokewidth);
|
|
node.setAttribute("stroke", stroke);
|
|
node.setAttribute("fill", fill);
|
|
node.setAttribute("stroke-opacity", strokeopacity);
|
|
node.setAttribute("fill-opacity", fillopacity);
|
|
}
|
|
|
|
function triangle(p,q,r,id) {
|
|
path([p,q,r,p],id)
|
|
}
|
|
|
|
function rect(p,q,id,rx,ry) { // opposite corners in units, rounded by radii
|
|
var node;
|
|
if (id!=null) node = doc.getElementById(id);
|
|
if (node==null) {
|
|
node = myCreateElementSVG("rect");
|
|
node.setAttribute("id", id);
|
|
svgpicture.appendChild(node);
|
|
}
|
|
node.setAttribute("x",p[0]*xunitlength+origin[0]);
|
|
node.setAttribute("y",height-q[1]*yunitlength-origin[1]);
|
|
node.setAttribute("width",(q[0]-p[0])*xunitlength);
|
|
node.setAttribute("height",(q[1]-p[1])*yunitlength);
|
|
if (rx!=null) node.setAttribute("rx",rx*xunitlength);
|
|
if (ry!=null) node.setAttribute("ry",ry*yunitlength);
|
|
node.setAttribute("stroke-width", strokewidth);
|
|
node.setAttribute("stroke", stroke);
|
|
node.setAttribute("fill", fill);
|
|
node.setAttribute("stroke-opacity", strokeopacity);
|
|
node.setAttribute("fill-opacity", fillopacity);
|
|
}
|
|
|
|
function text(p,st,pos,id,fontsty) {
|
|
var dnode, node, dx = 0, dy = fontsize/3;
|
|
if (/(`|\$)/.test(st)) { // layer for ASCIIMathML and LaTeXMathML
|
|
dnode = document.getElementById(svgpicture.getAttribute("name")+"mml");
|
|
if (dnode!=null) {
|
|
if (id!=null) node = document.getElementById(id);
|
|
if (node==null) {
|
|
//alert(dnode.childNodes.length)
|
|
node = myCreateElementXHTML("div");
|
|
node.setAttribute("id", id);
|
|
node.style.position = "absolute";
|
|
dnode.appendChild(node);
|
|
}
|
|
while (node.childNodes.length>0) node.removeChild(node.lastChild);
|
|
node.appendChild(document.createTextNode(st));
|
|
// node.lastChild.nodeValue = st;
|
|
node.style.left = ""+(p[0]*xunitlength+origin[0])+"px";
|
|
node.style.top = ""+(height-p[1]*yunitlength-origin[1])+"px";
|
|
if (/`/.test(st)) AMprocessNode(node); else LMprocessNode(node);
|
|
dx = -node.offsetWidth/2;
|
|
dy = -node.offsetHeight/2;
|
|
if (pos!=null) {
|
|
if (/above/.test(pos)) dy = -node.offsetHeight;
|
|
if (/below/.test(pos)) dy = 0;
|
|
if (/right/.test(pos)) dx = 0;
|
|
if ( /left/.test(pos)) dx = -node.offsetWidth;
|
|
}
|
|
node.style.left = ""+(p[0]*xunitlength+origin[0]+dx)+"px";
|
|
node.style.top = ""+(height-p[1]*yunitlength-origin[1]+dy)+"px";
|
|
}
|
|
return p;
|
|
}
|
|
var textanchor = "middle"; // regular text goes into SVG
|
|
if (pos!=null) {
|
|
if (/above/.test(pos)) dy = -fontsize/2;
|
|
if (/below/.test(pos)) dy = fontsize-0;
|
|
if (/right/.test(pos)) {textanchor = "start"; dx = fontsize/4;}
|
|
if ( /left/.test(pos)) {textanchor = "end"; dx = -fontsize/4;}
|
|
}
|
|
if (id!=null) node = doc.getElementById(id);
|
|
if (node==null) {
|
|
node = myCreateElementSVG("text");
|
|
node.setAttribute("id", id);
|
|
svgpicture.appendChild(node);
|
|
node.appendChild(doc.createTextNode(st));
|
|
}
|
|
while (node.childNodes.length>1) node.removeChild(node.lastChild);
|
|
// node.appendChild(document.createTextNode("\xA0"+st+"\xA0"));
|
|
//alert("here");
|
|
node.lastChild.nodeValue = "\xA0"+st+"\xA0";
|
|
node.setAttribute("x",p[0]*xunitlength+origin[0]+dx);
|
|
node.setAttribute("y",height-p[1]*yunitlength-origin[1]+dy);
|
|
node.setAttribute("font-style",(fontsty!=null?fontsty:
|
|
(st.search(/^[a-zA-Z]$/)!=-1?"italic":fontstyle)));
|
|
node.setAttribute("font-family",fontfamily);
|
|
node.setAttribute("font-size",fontsize);
|
|
node.setAttribute("font-weight",fontweight);
|
|
node.setAttribute("text-anchor",textanchor);
|
|
if (fontstroke!="none") node.setAttribute("stroke",fontstroke);
|
|
if (fontfill!="none") node.setAttribute("fill",fontfill);
|
|
return p;
|
|
}
|
|
|
|
function mtext(p,st,pos,fontsty) { // method for updating text on an svg
|
|
// "this" is the text object or the svgpicture object
|
|
var textanchor = "middle";
|
|
var dx = 0; var dy = fontsize/3;
|
|
if (pos!=null) {
|
|
if (pos.slice(0,5)=="above") dy = -fontsize/2;
|
|
if (pos.slice(0,5)=="below") dy = fontsize-0;
|
|
if (pos.slice(0,5)=="right" || pos.slice(5,10)=="right") {
|
|
textanchor = "start";
|
|
dx = fontsize/2;
|
|
}
|
|
if (pos.slice(0,4)=="left" || pos.slice(5,9)=="left") {
|
|
textanchor = "end";
|
|
dx = -fontsize/2;
|
|
}
|
|
}
|
|
var node = this;
|
|
if (this.nodeName=="svg") {
|
|
node = myCreateElementSVG("text");
|
|
this.appendChild(node);
|
|
node.appendChild(doc.createTextNode(st));
|
|
}
|
|
node.lastChild.nodeValue = st;
|
|
node.setAttribute("x",p[0]+dx);
|
|
node.setAttribute("y",p[1]+dy);
|
|
node.setAttribute("font-style",(fontsty!=null?fontsty:fontstyle));
|
|
node.setAttribute("font-family",fontfamily);
|
|
node.setAttribute("font-size",fontsize);
|
|
node.setAttribute("font-weight",fontweight);
|
|
node.setAttribute("text-anchor",textanchor);
|
|
if (fontstroke!="none") node.setAttribute("stroke",fontstroke);
|
|
if (fontfill!="none") node.setAttribute("fill",fontfill);
|
|
}
|
|
|
|
function image(imgurl,p,w,h,id) { // not working yet
|
|
var node;
|
|
if (id!=null) node = doc.getElementById(id);
|
|
if (node==null) {
|
|
node = myCreateElementSVG("image");
|
|
node.setAttribute("id", id);
|
|
svgpicture.appendChild(node);
|
|
}
|
|
node.setAttribute("x",p[0]*xunitlength+origin[0]);
|
|
node.setAttribute("y",height-p[1]*yunitlength-origin[1]);
|
|
node.setAttribute("width",w);
|
|
node.setAttribute("height",h);
|
|
node.setAttribute("xlink:href", imgurl);
|
|
}
|
|
|
|
function ASdot(center,radius,s,f) { // coordinates in units, radius in pixel
|
|
if (s==null) s = stroke; if (f==null) f = fill;
|
|
var node = myCreateElementSVG("circle");
|
|
node.setAttribute("cx",center[0]*xunitlength+origin[0]);
|
|
node.setAttribute("cy",height-center[1]*yunitlength-origin[1]);
|
|
node.setAttribute("r",radius);
|
|
node.setAttribute("stroke-width", strokewidth);
|
|
node.setAttribute("stroke", s);
|
|
node.setAttribute("fill", f);
|
|
svgpicture.appendChild(node);
|
|
}
|
|
|
|
function dot(center, typ, label, pos, id) {
|
|
var node;
|
|
var cx = center[0]*xunitlength+origin[0];
|
|
var cy = height-center[1]*yunitlength-origin[1];
|
|
if (id!=null) node = doc.getElementById(id);
|
|
if (typ=="+" || typ=="-" || typ=="|") {
|
|
if (node==null) {
|
|
node = myCreateElementSVG("path");
|
|
node.setAttribute("id", id);
|
|
svgpicture.appendChild(node);
|
|
}
|
|
if (typ=="+") {
|
|
node.setAttribute("d",
|
|
" M "+(cx-ticklength)+" "+cy+" L "+(cx+ticklength)+" "+cy+
|
|
" M "+cx+" "+(cy-ticklength)+" L "+cx+" "+(cy+ticklength));
|
|
node.setAttribute("stroke-width", .5);
|
|
node.setAttribute("stroke", axesstroke);
|
|
} else {
|
|
if (typ=="-") node.setAttribute("d",
|
|
" M "+(cx-ticklength)+" "+cy+" L "+(cx+ticklength)+" "+cy);
|
|
else node.setAttribute("d",
|
|
" M "+cx+" "+(cy-ticklength)+" L "+cx+" "+(cy+ticklength));
|
|
node.setAttribute("stroke-width", strokewidth);
|
|
node.setAttribute("stroke", stroke);
|
|
}
|
|
} else {
|
|
if (node==null) {
|
|
node = myCreateElementSVG("circle");
|
|
node.setAttribute("id", id);
|
|
svgpicture.appendChild(node);
|
|
}
|
|
node.setAttribute("cx",cx);
|
|
node.setAttribute("cy",cy);
|
|
node.setAttribute("r",dotradius);
|
|
node.setAttribute("stroke-width", strokewidth);
|
|
node.setAttribute("stroke", stroke);
|
|
node.setAttribute("fill", (typ=="open"?"white":
|
|
(typ=="closed"?stroke:markerfill)));
|
|
}
|
|
if (label!=null)
|
|
text(center,label,(pos==null?"below":pos),(id==null?id:id+"label"))
|
|
}
|
|
|
|
point = dot; //alternative name
|
|
|
|
function arrowhead(p,q) { // draw arrowhead at q (in units) add size param
|
|
var up;
|
|
var v = [p[0]*xunitlength+origin[0],height-p[1]*yunitlength-origin[1]];
|
|
var w = [q[0]*xunitlength+origin[0],height-q[1]*yunitlength-origin[1]];
|
|
var u = [w[0]-v[0],w[1]-v[1]];
|
|
var d = Math.sqrt(u[0]*u[0]+u[1]*u[1]);
|
|
if (d > 0.00000001) {
|
|
u = [u[0]/d, u[1]/d];
|
|
up = [-u[1],u[0]];
|
|
var node = myCreateElementSVG("path");
|
|
node.setAttribute("d","M "+(w[0]-15*u[0]-4*up[0])+" "+
|
|
(w[1]-15*u[1]-4*up[1])+" L "+(w[0]-3*u[0])+" "+(w[1]-3*u[1])+" L "+
|
|
(w[0]-15*u[0]+4*up[0])+" "+(w[1]-15*u[1]+4*up[1])+" z");
|
|
node.setAttribute("stroke-width", markerstrokewidth);
|
|
node.setAttribute("stroke", stroke); /*was markerstroke*/
|
|
node.setAttribute("fill", stroke); /*was arrowfill*/
|
|
node.setAttribute("stroke-opacity", strokeopacity);
|
|
node.setAttribute("fill-opacity", fillopacity);
|
|
svgpicture.appendChild(node);
|
|
}
|
|
}
|
|
|
|
function chopZ(st) {
|
|
var k = st.indexOf(".");
|
|
if (k==-1) return st;
|
|
for (var i=st.length-1; i>k && st.charAt(i)=="0"; i--);
|
|
if (i==k) i--;
|
|
return st.slice(0,i+1);
|
|
}
|
|
|
|
function grid(dx,dy) { // for backward compatibility
|
|
axes(dx,dy,null,dx,dy)
|
|
}
|
|
|
|
function noaxes() {
|
|
if (!initialized) initPicture();
|
|
}
|
|
|
|
function axes(dx,dy,labels,gdx,gdy) {
|
|
//xscl=x is equivalent to xtick=x; xgrid=x; labels=true;
|
|
var x, y, ldx, ldy, lx, ly, lxp, lyp, pnode, st;
|
|
if (!initialized) initPicture();
|
|
if (typeof dx=="string") { labels = dx; dx = null; }
|
|
if (typeof dy=="string") { gdx = dy; dy = null; }
|
|
if (xscl!=null) {dx = xscl; gdx = xscl; labels = dx}
|
|
if (yscl!=null) {dy = yscl; gdy = yscl}
|
|
if (xtick!=null) {dx = xtick}
|
|
if (ytick!=null) {dy = ytick}
|
|
dx = (dx==null?xunitlength:dx*xunitlength);
|
|
dy = (dy==null?dx:dy*yunitlength);
|
|
fontsize = Math.min(dx/2,dy/2,16); //alert(fontsize)
|
|
ticklength = fontsize/4;
|
|
if (xgrid!=null) gdx = xgrid;
|
|
if (ygrid!=null) gdy = ygrid;
|
|
if (gdx!=null) {
|
|
gdx = (typeof gdx=="string"?dx:gdx*xunitlength);
|
|
gdy = (gdy==null?dy:gdy*yunitlength);
|
|
pnode = myCreateElementSVG("path");
|
|
st="";
|
|
for (x = origin[0]; x<width; x = x+gdx)
|
|
st += " M"+x+",0"+" "+x+","+height;
|
|
for (x = origin[0]-gdx; x>0; x = x-gdx)
|
|
st += " M"+x+",0"+" "+x+","+height;
|
|
for (y = height-origin[1]; y<height; y = y+gdy)
|
|
st += " M0,"+y+" "+width+","+y;
|
|
for (y = height-origin[1]-gdy; y>0; y = y-gdy)
|
|
st += " M0,"+y+" "+width+","+y;
|
|
pnode.setAttribute("d",st);
|
|
pnode.setAttribute("stroke-width", .5);
|
|
pnode.setAttribute("stroke", gridstroke);
|
|
pnode.setAttribute("fill", fill);
|
|
svgpicture.appendChild(pnode);
|
|
}
|
|
pnode = myCreateElementSVG("path");
|
|
st="M0,"+(height-origin[1])+" "+width+","+
|
|
(height-origin[1])+" M"+origin[0]+",0 "+origin[0]+","+height;
|
|
for (x = origin[0]+dx; x<width; x = x+dx)
|
|
st += " M"+x+","+(height-origin[1]+ticklength)+" "+x+","+
|
|
(height-origin[1]-ticklength);
|
|
for (x = origin[0]-dx; x>0; x = x-dx)
|
|
st += " M"+x+","+(height-origin[1]+ticklength)+" "+x+","+
|
|
(height-origin[1]-ticklength);
|
|
for (y = height-origin[1]+dy; y<height; y = y+dy)
|
|
st += " M"+(origin[0]+ticklength)+","+y+" "+(origin[0]-ticklength)+","+y;
|
|
for (y = height-origin[1]-dy; y>0; y = y-dy)
|
|
st += " M"+(origin[0]+ticklength)+","+y+" "+(origin[0]-ticklength)+","+y;
|
|
if (labels!=null) with (Math) {
|
|
ldx = dx/xunitlength;
|
|
ldy = dy/yunitlength;
|
|
lx = (xmin>0 || xmax<0?xmin:0);
|
|
ly = (ymin>0 || ymax<0?ymin:0);
|
|
lxp = (ly==0?"below":"above");
|
|
lyp = (lx==0?"left":"right");
|
|
var ddx = floor(1.1-log(ldx)/log(10))+1;
|
|
var ddy = floor(1.1-log(ldy)/log(10))+1;
|
|
for (x = ldx; x<=xmax; x = x+ldx)
|
|
text([x,ly],chopZ(x.toFixed(ddx)),lxp);
|
|
for (x = -ldx; xmin<=x; x = x-ldx)
|
|
text([x,ly],chopZ(x.toFixed(ddx)),lxp);
|
|
for (y = ldy; y<=ymax; y = y+ldy)
|
|
text([lx,y],chopZ(y.toFixed(ddy)),lyp);
|
|
for (y = -ldy; ymin<=y; y = y-ldy)
|
|
text([lx,y],chopZ(y.toFixed(ddy)),lyp);
|
|
}
|
|
fontsize = defaultfontsize;
|
|
pnode.setAttribute("d",st);
|
|
pnode.setAttribute("stroke-width", .5);
|
|
pnode.setAttribute("stroke", axesstroke);
|
|
pnode.setAttribute("fill", fill);
|
|
pnode.setAttribute("stroke-opacity", strokeopacity);
|
|
pnode.setAttribute("fill-opacity", fillopacity);
|
|
svgpicture.appendChild(pnode);
|
|
}
|
|
|
|
function mathjs(st) {
|
|
//translate a math formula to js function notation
|
|
// a^b --> pow(a,b)
|
|
// na --> n*a
|
|
// (...)d --> (...)*d
|
|
// n! --> factorial(n)
|
|
// sin^-1 --> arcsin etc.
|
|
//while ^ in string, find term on left and right
|
|
//slice and concat new formula string
|
|
st = st.replace(/\s/g,"");
|
|
if (st.indexOf("^-1")!=-1) {
|
|
st = st.replace(/sin\^-1/g,"arcsin");
|
|
st = st.replace(/cos\^-1/g,"arccos");
|
|
st = st.replace(/tan\^-1/g,"arctan");
|
|
st = st.replace(/sec\^-1/g,"arcsec");
|
|
st = st.replace(/csc\^-1/g,"arccsc");
|
|
st = st.replace(/cot\^-1/g,"arccot");
|
|
st = st.replace(/sinh\^-1/g,"arcsinh");
|
|
st = st.replace(/cosh\^-1/g,"arccosh");
|
|
st = st.replace(/tanh\^-1/g,"arctanh");
|
|
st = st.replace(/sech\^-1/g,"arcsech");
|
|
st = st.replace(/csch\^-1/g,"arccsch");
|
|
st = st.replace(/coth\^-1/g,"arccoth");
|
|
}
|
|
st = st.replace(/^e$/g,"(Math.E)");
|
|
st = st.replace(/^e([^a-zA-Z])/g,"(Math.E)$1");
|
|
st = st.replace(/([^a-zA-Z])e/g,"$1(Math.E)");
|
|
// st = st.replace(/([^a-zA-Z])e([^a-zA-Z])/g,"$1(Math.E)$2");
|
|
st = st.replace(/([0-9])([\(a-zA-Z])/g,"$1*$2");
|
|
st = st.replace(/\)([\(0-9a-zA-Z])/g,"\)*$1");
|
|
var i,j,k, ch, nested;
|
|
while ((i=st.indexOf("^"))!=-1) {
|
|
//find left argument
|
|
if (i==0) return "Error: missing argument";
|
|
j = i-1;
|
|
ch = st.charAt(j);
|
|
if (ch>="0" && ch<="9") {// look for (decimal) number
|
|
j--;
|
|
while (j>=0 && (ch=st.charAt(j))>="0" && ch<="9") j--;
|
|
if (ch==".") {
|
|
j--;
|
|
while (j>=0 && (ch=st.charAt(j))>="0" && ch<="9") j--;
|
|
}
|
|
} else if (ch==")") {// look for matching opening bracket and function name
|
|
nested = 1;
|
|
j--;
|
|
while (j>=0 && nested>0) {
|
|
ch = st.charAt(j);
|
|
if (ch=="(") nested--;
|
|
else if (ch==")") nested++;
|
|
j--;
|
|
}
|
|
while (j>=0 && (ch=st.charAt(j))>="a" && ch<="z" || ch>="A" && ch<="Z")
|
|
j--;
|
|
} else if (ch>="a" && ch<="z" || ch>="A" && ch<="Z") {// look for variable
|
|
j--;
|
|
while (j>=0 && (ch=st.charAt(j))>="a" && ch<="z" || ch>="A" && ch<="Z")
|
|
j--;
|
|
} else {
|
|
return "Error: incorrect syntax in "+st+" at position "+j;
|
|
}
|
|
//find right argument
|
|
if (i==st.length-1) return "Error: missing argument";
|
|
k = i+1;
|
|
ch = st.charAt(k);
|
|
if (ch>="0" && ch<="9" || ch=="-") {// look for signed (decimal) number
|
|
k++;
|
|
while (k<st.length && (ch=st.charAt(k))>="0" && ch<="9") k++;
|
|
if (ch==".") {
|
|
k++;
|
|
while (k<st.length && (ch=st.charAt(k))>="0" && ch<="9") k++;
|
|
}
|
|
} else if (ch=="(") {// look for matching closing bracket and function name
|
|
nested = 1;
|
|
k++;
|
|
while (k<st.length && nested>0) {
|
|
ch = st.charAt(k);
|
|
if (ch=="(") nested++;
|
|
else if (ch==")") nested--;
|
|
k++;
|
|
}
|
|
} else if (ch>="a" && ch<="z" || ch>="A" && ch<="Z") {// look for variable
|
|
k++;
|
|
while (k<st.length && (ch=st.charAt(k))>="a" && ch<="z" ||
|
|
ch>="A" && ch<="Z") k++;
|
|
} else {
|
|
return "Error: incorrect syntax in "+st+" at position "+k;
|
|
}
|
|
st = st.slice(0,j+1)+"Math.pow("+st.slice(j+1,i)+","+st.slice(i+1,k)+")"+
|
|
st.slice(k);
|
|
}
|
|
while ((i=st.indexOf("!"))!=-1) {
|
|
//find left argument
|
|
if (i==0) return "Error: missing argument";
|
|
j = i-1;
|
|
ch = st.charAt(j);
|
|
if (ch>="0" && ch<="9") {// look for (decimal) number
|
|
j--;
|
|
while (j>=0 && (ch=st.charAt(j))>="0" && ch<="9") j--;
|
|
if (ch==".") {
|
|
j--;
|
|
while (j>=0 && (ch=st.charAt(j))>="0" && ch<="9") j--;
|
|
}
|
|
} else if (ch==")") {// look for matching opening bracket and function name
|
|
nested = 1;
|
|
j--;
|
|
while (j>=0 && nested>0) {
|
|
ch = st.charAt(j);
|
|
if (ch=="(") nested--;
|
|
else if (ch==")") nested++;
|
|
j--;
|
|
}
|
|
while (j>=0 && (ch=st.charAt(j))>="a" && ch<="z" || ch>="A" && ch<="Z")
|
|
j--;
|
|
} else if (ch>="a" && ch<="z" || ch>="A" && ch<="Z") {// look for variable
|
|
j--;
|
|
while (j>=0 && (ch=st.charAt(j))>="a" && ch<="z" || ch>="A" && ch<="Z")
|
|
j--;
|
|
} else {
|
|
return "Error: incorrect syntax in "+st+" at position "+j;
|
|
}
|
|
st = st.slice(0,j+1)+"factorial("+st.slice(j+1,i)+")"+st.slice(i+1);
|
|
}
|
|
return st;
|
|
}
|
|
|
|
function plot(fun,x_min,x_max,points,id,endpts) {
|
|
var pth = [];
|
|
var f = function(x) { return x }, g = fun;
|
|
var name = null;
|
|
if (typeof fun=="string")
|
|
eval("g = function(x){ with(Math) return "+mathjs(fun)+" }");
|
|
else if (typeof fun=="object") {
|
|
eval("f = function(t){ with(Math) return "+mathjs(fun[0])+" }");
|
|
eval("g = function(t){ with(Math) return "+mathjs(fun[1])+" }");
|
|
}
|
|
if (typeof x_min=="string") { name = x_min; x_min = xmin }
|
|
else name = id;
|
|
var min = (x_min==null?xmin:x_min);
|
|
var max = (x_max==null?xmax:x_max);
|
|
var inc = max-min-0.000001*(max-min);
|
|
inc = (points==null?inc/200:inc/points);
|
|
var gt;
|
|
//alert(typeof g(min))
|
|
for (var t = min; t <= max; t += inc) {
|
|
gt = g(t);
|
|
if (!(isNaN(gt)||Math.abs(gt)=="Infinity")) pth[pth.length] = [f(t), gt];
|
|
}
|
|
path(pth,name,null,endpts);
|
|
return p;
|
|
}
|
|
|
|
// make polar plot
|
|
|
|
// make Riemann sums
|
|
|
|
function slopefield(fun,dx,dy) {
|
|
var g = fun;
|
|
if (typeof fun=="string")
|
|
eval("g = function(x,y){ with(Math) return "+mathjs(fun)+" }");
|
|
var gxy,x,y,u,v,dz;
|
|
if (dx==null) dx=1;
|
|
if (dy==null) dy=1;
|
|
dz = Math.sqrt(dx*dx+dy*dy)/6;
|
|
var x_min = Math.ceil(xmin/dx);
|
|
var y_min = Math.ceil(ymin/dy);
|
|
for (x = x_min; x <= xmax; x += dx)
|
|
for (y = y_min; y <= ymax; y += dy) {
|
|
gxy = g(x,y);
|
|
if (!isNaN(gxy)) {
|
|
if (Math.abs(gxy)=="Infinity") {u = 0; v = dz;}
|
|
else {u = dz/Math.sqrt(1+gxy*gxy); v = gxy*u;}
|
|
line([x-u,y-v],[x+u,y+v]);
|
|
}
|
|
}
|
|
}
|
|
|
|
///////////////////////user graphics commands end here/////////////////////////
|
|
|
|
function show_props(obj) {
|
|
var result = "";
|
|
for (var i=0; i< obj.childNodes.length; i++)
|
|
result += obj.childNodes.item(i) + "\n";
|
|
return result;
|
|
}
|
|
|
|
function displayCoord(evt) {
|
|
if (showcoordinates) {
|
|
//alert(show_props(evt.target.parentNode))
|
|
var svgroot = evt.target.parentNode;
|
|
var nl = svgroot.childNodes;
|
|
for (var i=0; i<nl.length && nl.item(i).nodeName!="text"; i++);
|
|
var cnode = nl.item(i);
|
|
cnode.mtext = mtext;
|
|
cnode.mtext([svgroot.getAttribute("width")-0,svgroot.getAttribute("height")-0],"("+getX(evt).toFixed(2)+", "+getY(evt).toFixed(2)+")", "aboveleft", "");
|
|
}
|
|
}
|
|
|
|
function removeCoord(evt) {
|
|
var svgroot = evt.target.parentNode;
|
|
var nl = svgroot.childNodes;
|
|
for (var i=0; i<nl.length && nl.item(i).nodeName!="text"; i++);
|
|
var cnode = nl.item(i);
|
|
cnode.mtext = mtext;
|
|
cnode.mtext([svgroot.getAttribute("width")-0,svgroot.getAttribute("height")-0],"", "aboveleft", "");
|
|
}
|
|
|
|
function initASCIIMathCalculators(li) {
|
|
var i;
|
|
for (i=0; i<li.length; i++) {
|
|
li[i].innerHTML = calcstr;
|
|
AMprocessNode(li[i]);
|
|
}
|
|
li = document.getElementsByTagName("textarea");
|
|
var st;
|
|
for (i=0; i<li.length; i++) {
|
|
st = li[i].getAttribute("onkeyup");
|
|
if (st!=null) eval(String(st).replace(/function anonymous\(\)/,""));
|
|
}
|
|
}
|
|
|
|
function calculate(inputId,outputId) {
|
|
var str = document.getElementById(inputId).value;
|
|
var err = "";
|
|
var ind = str.lastIndexOf("\n");
|
|
if (ind==str.length-1) str = str.slice(0,ind);
|
|
str = str.slice(str.lastIndexOf("\n")+1);
|
|
try {
|
|
var res = eval(mathjs(str));
|
|
} catch(e) {
|
|
err = "syntax incomplete";
|
|
}
|
|
if (!isNaN(res) && res!="Infinity")
|
|
str = "`"+str+" =` "+(Math.abs(res-Math.round(res*1000000)/1000000)<1e-15?Math.round(res*1000000)/1000000:res)+err;
|
|
else if (str!="") str = "`"+str+"` = undefined"; //debug:+mathjs(str);
|
|
var outnode = document.getElementById(outputId);
|
|
var n = outnode.childNodes.length;
|
|
for (var i=0; i<n; i++)
|
|
outnode.removeChild(outnode.firstChild);
|
|
outnode.appendChild(document.createTextNode(str));
|
|
AMprocessNode(outnode);
|
|
}
|
|
|
|
function append(st){
|
|
document.getElementById('in').value+=st;
|
|
calculate('in','out');
|
|
document.getElementById('in').scrollTop = 1000;
|
|
document.getElementById('in').focus();
|
|
}
|
|
|
|
function clearTextArea(){
|
|
document.getElementById('in').value="";
|
|
calculate('in','out');
|
|
document.getElementById('in').focus();
|
|
}
|
|
|
|
var calcstr = "<table align=\"center\">\n<tr><th>\nASCIIMath Scientific Calculator\n</th></tr>\n<tr><td>\nClick in the box to use your keyboard or use the buttons\n</td></tr>\n<tr><td>\n<textarea id=\"in\" rows=\"3\" cols=\"40\" onkeyup=\"calculate('in','out')\"></textarea></td></tr>\n<tr><td height=\"50\">Result: <span id=\"out\"></span></td></tr>\n</table>\n<table align=\"center\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody align=\"center\">\n<tr>\n<td colspan=\"4\">\n<button onclick=\"append('sin^-1(')\"><font size=2>`sin^-1`</font></button><button onclick=\"append('cos^-1(')\"><font size=2>`cos^-1`</font></button><button onclick=\"append('tan^-1(')\"><font size=2>`tan^-1`</font></button></td>\n<td><button onclick=\"clearTextArea()\"> `C` </button></td>\n\n</tr>\n<tr>\n<td><button onclick=\"append('pi')\"> `pi` </button></td>\n<td><button onclick=\"append('sin(')\"> `sin`</button></td>\n<td><button onclick=\"append('cos(')\"> `cos`</button></td>\n<td><button onclick=\"append('tan(')\"> `tan`</button></td>\n<td><button onclick=\"append('^')\">`x^y`</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('!')\"> `!` </button></td>\n\n<td><button onclick=\"append('(')\"><font size=2> `(` </font></button></td>\n<td><button onclick=\"append(')')\"><font size=2> `)` </font></button></td>\n<td><button onclick=\"append('sqrt(')\"><font size=2>`sqrt({::}^\ )`</font></button></td>\n<td><button onclick=\"append('/')\"> `-:\ `</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('log(')\">`log`</button></td>\n<td><button onclick=\"append('7')\"> `7` </button></td>\n<td><button onclick=\"append('8')\"> `8` </button></td>\n\n<td><button onclick=\"append('9')\"> `9` </button></td>\n<td><button onclick=\"append('*')\"> `times` </button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('ln(')\"> `ln` </button></td>\n<td><button onclick=\"append('4')\"> `4` </button></td>\n<td><button onclick=\"append('5')\"> `5` </button></td>\n<td><button onclick=\"append('6')\"> `6` </button></td>\n\n<td><button onclick=\"append('-')\"> `-{::}` </button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('e')\"> `e` </button></td>\n<td><button onclick=\"append('1')\"> `1` </button></td>\n<td><button onclick=\"append('2')\"> `2` </button></td>\n<td><button onclick=\"append('3')\"> `3` </button></td>\n<td><button onclick=\"append('+')\"> `+{::}` </button></td>\n\n</tr>\n<tr>\n<td> <!--button onclick=\"append('pi')\"> `pi` </button--></td>\n<td><button onclick=\"append('0')\"> `0` </button></td>\n<td><button onclick=\"append('.')\"> `.` </button></td>\n<td><button onclick=\"append('\\n')\"> `\"ent\"`</button></td>\n</tr>\n</tbody>\n</table>";
|
|
|
|
// GO1.1 Generic onload by Brothercake
|
|
// http://www.brothercake.com/
|
|
//onload function (replaces the onload="translate()" in the <body> tag)
|
|
function generic()
|
|
{
|
|
if (translateOnLoad) {
|
|
var nd = document.getElementById("processasciimathinmoodle");
|
|
if (nd!=null) dsvglocation = nd.className;
|
|
if (nd!=null || !checkforprocessasciimathinmoodle) {
|
|
if (translateLaTeX) LMtranslate();
|
|
if (translateASCIIMath) translate();
|
|
if (translateASCIIsvg) drawPictures();
|
|
}
|
|
var li = getElementsByClass(document,"div","ASCIIMathCalculator");
|
|
if (li.length>0) initASCIIMathCalculators(li);
|
|
}
|
|
};
|
|
//setup onload function
|
|
if(typeof window.addEventListener != 'undefined')
|
|
{
|
|
//.. gecko, safari, konqueror and standard
|
|
window.addEventListener('load', generic, false);
|
|
}
|
|
else if(typeof document.addEventListener != 'undefined')
|
|
{
|
|
//.. opera 7
|
|
document.addEventListener('load', generic, false);
|
|
}
|
|
else if(typeof window.attachEvent != 'undefined')
|
|
{
|
|
//.. win/ie
|
|
window.attachEvent('onload', generic);
|
|
}
|
|
//** remove this condition to degrade older browsers
|
|
else
|
|
{
|
|
//.. mac/ie5 and anything else that gets this far
|
|
//if there's an existing onload function
|
|
if(typeof window.onload == 'function')
|
|
{
|
|
//store it
|
|
var existing = onload;
|
|
//add new onload handler
|
|
window.onload = function()
|
|
{
|
|
//call existing onload function
|
|
existing();
|
|
//call generic onload function
|
|
generic();
|
|
};
|
|
}
|
|
else
|
|
{
|
|
//setup onload function
|
|
window.onload = generic;
|
|
}
|
|
}
|
|
|
|
|